564105056023164 has 192 divisors, whose sum is σ = 1355727237701760. Its totient is φ = 182447953920000.

The previous prime is 564105056023147. The next prime is 564105056023207. The reversal of 564105056023164 is 461320650501465.

It is a happy number.

It is a congruent number.

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, 244307082442 + ... + 244307084750.

It is an arithmetic number, because the mean of its divisors is an integer number (7061079363030).

Almost surely, 2^{564105056023164} is an apocalyptic number.

It is an amenable number.

564105056023164 is an abundant number, since it is smaller than the sum of its proper divisors (791622181678596).

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

564105056023164 is a wasteful number, since it uses less digits than its factorization.

564105056023164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 564105056023164 in words is "five hundred sixty-four trillion, one hundred five billion, fifty-six million, twenty-three thousand, one hundred sixty-four".