231928233984 has 136 divisors (see below), whose sum is σ = 687194767320. Its totient is φ = 77309411328.

The previous prime is 231928233959. The next prime is 231928233997. The reversal of 231928233984 is 489332829132.

The cubic root of 231928233984 is 6144.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (2!)²⁴.

231928233984 is a `hidden beast` number, since 2 + 319 + 2 + 8 + 233 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an enlightened number because it begins with the concatenation of its prime factors (23).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 231928233984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77309411327 + 77309411328 + 77309411329.

Almost surely, 2^231928233984 is an apocalyptic number.

231928233984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231928233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343597383660).

231928233984 is an abundant number, since it is smaller than the sum of its proper divisors (455266533336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231928233984 is an frugal number, since it uses more digits than its factorization.

231928233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 5 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

Multiplying 231928233984 by its sum of digits (54), we get a square (12524124635136 = 3538944²).

231928233984 divided by its sum of digits (54) gives a 32-nd power (4294967296 = 2³²).

The spelling of 231928233984 in words is "two hundred thirty-one billion, nine hundred twenty-eight million, two hundred thirty-three thousand, nine hundred eighty-four".