13732234846848 has 384 divisors, whose sum is σ = 47603962224000. Its totient is φ = 3885398544384.

The previous prime is 13732234846831. The next prime is 13732234846877. The reversal of 13732234846848 is 84864843223731.

13732234846848 is a `hidden beast` number, since 1 + 3 + 7 + 32 + 23 + 484 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17048788 + ... + 17836076.

It is an arithmetic number, because the mean of its divisors is an integer number (123968651625).

Almost surely, 2^{13732234846848} is an apocalyptic number.

13732234846848 is a gapful number since it is divisible by the number (18) 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 13732234846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801981112000).

13732234846848 is an abundant number, since it is smaller than the sum of its proper divisors (33871727377152).

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

13732234846848 is a wasteful number, since it uses less digits than its factorization.

13732234846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787429 (or 787404 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 13732234846848 in words is "thirteen trillion, seven hundred thirty-two billion, two hundred thirty-four million, eight hundred forty-six thousand, eight hundred forty-eight".