232813930447872 has 1232 divisors, whose sum is σ = 733465342621440. Its totient is φ = 73732831248384.

The previous prime is 232813930447853. The next prime is 232813930447913. The reversal of 232813930447872 is 278744039318232.

It is a happy number.

232813930447872 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 1 + 3 + 93 + 0 + 4 + 478 + 72 = 666.

232813930447872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×232813930447872³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 586433073978 + ... + 586433074374.

Almost surely, 2^{232813930447872} 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 232813930447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366732671310720).

232813930447872 is an abundant number, since it is smaller than the sum of its proper divisors (500651412173568).

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

232813930447872 is a wasteful number, since it uses less digits than its factorization.

232813930447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 232813930447872 in words is "two hundred thirty-two trillion, eight hundred thirteen billion, nine hundred thirty million, four hundred forty-seven thousand, eight hundred seventy-two".