864612041832 has 256 divisors, whose sum is σ = 3036505190400. Its totient is φ = 221411232000.

The previous prime is 864612041809. The next prime is 864612041857. The reversal of 864612041832 is 238140216468.

864612041832 is a `hidden beast` number, since 8 + 6 + 461 + 2 + 0 + 4 + 183 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814782 + ... + 1546962.

It is an arithmetic number, because the mean of its divisors is an integer number (11861348400).

Almost surely, 2^864612041832 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 864612041832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518252595200).

864612041832 is an abundant number, since it is smaller than the sum of its proper divisors (2171893148568).

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

864612041832 is a wasteful number, since it uses less digits than its factorization.

864612041832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732285 (or 732275 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 864612041832 in words is "eight hundred sixty-four billion, six hundred twelve million, forty-one thousand, eight hundred thirty-two".