8205432246864 has 40 divisors (see below), whose sum is σ = 23552629598720. Its totient is φ = 2735144082144.

The previous prime is 8205432246841. The next prime is 8205432246961. The reversal of 8205432246864 is 4686422345028.

8205432246864 is a `hidden beast` number, since 82 + 0 + 5 + 43 + 2 + 2 + 468 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8205432246864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9497027632 + ... + 9497028495.

It is an arithmetic number, because the mean of its divisors is an integer number (588815739968).

Almost surely, 2^{8205432246864} is an apocalyptic number.

It is an amenable number.

8205432246864 is an abundant number, since it is smaller than the sum of its proper divisors (15347197351856).

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

8205432246864 is a wasteful number, since it uses less digits than its factorization.

8205432246864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18994056144 (or 18994056132 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 8205432246864 in words is "eight trillion, two hundred five billion, four hundred thirty-two million, two hundred forty-six thousand, eight hundred sixty-four".