232764088256 has 224 divisors, whose sum is σ = 554285383680. Its totient is φ = 94887936000.

The previous prime is 232764088243. The next prime is 232764088279. The reversal of 232764088256 is 652880467232.

232764088256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 232764088198 and 232764088207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387294356 + ... + 387294956.

It is an arithmetic number, because the mean of its divisors is an integer number (2474488320).

Almost surely, 2^232764088256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232764088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277142691840).

232764088256 is an abundant number, since it is smaller than the sum of its proper divisors (321521295424).

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

232764088256 is a wasteful number, since it uses less digits than its factorization.

232764088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 232764088256 in words is "two hundred thirty-two billion, seven hundred sixty-four million, eighty-eight thousand, two hundred fifty-six".