232034904864 has 288 divisors, whose sum is σ = 783203541120. Its totient is φ = 63756435456.

The previous prime is 232034904851. The next prime is 232034904883. The reversal of 232034904864 is 468409430232.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15017527 + ... + 15032969.

It is an arithmetic number, because the mean of its divisors is an integer number (2719456740).

Almost surely, 2^232034904864 is an apocalyptic number.

232034904864 is a gapful number since it is divisible by the number (24) 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 232034904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391601770560).

232034904864 is an abundant number, since it is smaller than the sum of its proper divisors (551168636256).

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

232034904864 is a wasteful number, since it uses less digits than its factorization.

232034904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15752 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 232034904864 in words is "two hundred thirty-two billion, thirty-four million, nine hundred four thousand, eight hundred sixty-four".