232064518578816 has 1536 divisors, whose sum is σ = 868824811008000. Its totient is φ = 53385412608000.

The previous prime is 232064518578749. The next prime is 232064518578839. The reversal of 232064518578816 is 618875815460232.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15863313390 + ... + 15863328018.

It is an arithmetic number, because the mean of its divisors is an integer number (565641153000).

Almost surely, 2^{232064518578816} 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 232064518578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434412405504000).

232064518578816 is an abundant number, since it is smaller than the sum of its proper divisors (636760292429184).

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

232064518578816 is a wasteful number, since it uses less digits than its factorization.

232064518578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 232064518578816 in words is "two hundred thirty-two trillion, sixty-four billion, five hundred eighteen million, five hundred seventy-eight thousand, eight hundred sixteen".