232102484201232 has 360 divisors, whose sum is σ = 665048281060800. Its totient is φ = 75555056102400.

The previous prime is 232102484201221. The next prime is 232102484201279.

232102484201232 is a `hidden beast` number, since 2 + 3 + 2 + 102 + 4 + 8 + 420 + 123 + 2 = 666.

232102484201232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232102484201232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102292852194 + ... + 102292854462.

It is an arithmetic number, because the mean of its divisors is an integer number (1847356336280).

Almost surely, 2^{232102484201232} 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 232102484201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332524140530400).

232102484201232 is an abundant number, since it is smaller than the sum of its proper divisors (432945796859568).

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

232102484201232 is a wasteful number, since it uses less digits than its factorization.

232102484201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 232102484201232 in words is "two hundred thirty-two trillion, one hundred two billion, four hundred eighty-four million, two hundred one thousand, two hundred thirty-two".