231568736256 has 1152 divisors, whose sum is σ = 878808621600. Its totient is φ = 57755566080.

The previous prime is 231568736233. The next prime is 231568736299. The reversal of 231568736256 is 652637865132.

231568736256 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 6 + 8 + 7 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×231568736256² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12187828215 + ... + 12187828233.

Almost surely, 2^231568736256 is an apocalyptic number.

231568736256 is a gapful number since it is divisible by the number (26) 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 231568736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439404310800).

231568736256 is an abundant number, since it is smaller than the sum of its proper divisors (647239885344).

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

231568736256 is a wasteful number, since it uses less digits than its factorization.

231568736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 231568736256 in words is "two hundred thirty-one billion, five hundred sixty-eight million, seven hundred thirty-six thousand, two hundred fifty-six".