232429358604672 has 512 divisors, whose sum is σ = 747388291584000. Its totient is φ = 70840380211200.

The previous prime is 232429358604659. The next prime is 232429358604679. The reversal of 232429358604672 is 276406853924232.

232429358604672 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 2 + 9 + 3 + 586 + 0 + 46 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232429358604679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759119772 + ... + 759425892.

It is an arithmetic number, because the mean of its divisors is an integer number (1459742757000).

Almost surely, 2^{232429358604672} 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 232429358604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373694145792000).

232429358604672 is an abundant number, since it is smaller than the sum of its proper divisors (514958932979328).

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

232429358604672 is a wasteful number, since it uses less digits than its factorization.

232429358604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306567 (or 306549 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 232429358604672 in words is "two hundred thirty-two trillion, four hundred twenty-nine billion, three hundred fifty-eight million, six hundred four thousand, six hundred seventy-two".