564516054168 has 128 divisors (see below), whose sum is σ = 1660148179200. Its totient is φ = 158109235200.

The previous prime is 564516054131. The next prime is 564516054181. The reversal of 564516054168 is 861450615465.

564516054168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 564516054168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166821 + ... + 1578132.

It is an arithmetic number, because the mean of its divisors is an integer number (12969907650).

Almost surely, 2^564516054168 is an apocalyptic number.

It is an amenable number.

564516054168 is an abundant number, since it is smaller than the sum of its proper divisors (1095632125032).

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

564516054168 is a wasteful number, since it uses less digits than its factorization.

564516054168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745033 (or 2745029 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 564516054168 in words is "five hundred sixty-four billion, five hundred sixteen million, fifty-four thousand, one hundred sixty-eight".