231399064800 has 432 divisors, whose sum is σ = 842729968080. Its totient is φ = 59709726720.

The previous prime is 231399064783. The next prime is 231399064811. The reversal of 231399064800 is 8460993132.

It is a happy number.

It is a super-3 number, since 3×231399064800³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33742972 + ... + 33749828.

It is an arithmetic number, because the mean of its divisors is an integer number (1950763815).

Almost surely, 2^231399064800 is an apocalyptic number.

231399064800 is a gapful number since it is divisible by the number (20) 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 231399064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421364984040).

231399064800 is an abundant number, since it is smaller than the sum of its proper divisors (611330903280).

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

231399064800 is a wasteful number, since it uses less digits than its factorization.

231399064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7035 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 231399064800 in words is "two hundred thirty-one billion, three hundred ninety-nine million, sixty-four thousand, eight hundred".