18564137917056 has 192 divisors, whose sum is σ = 57629829951720. Its totient is φ = 5714155339776.

The previous prime is 18564137917037. The next prime is 18564137917063. The reversal of 18564137917056 is 65071973146581.

18564137917056 is a `hidden beast` number, since 1 + 8 + 5 + 6 + 41 + 379 + 170 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17237310382656 + 1326827534400 = 4151784^2 + 1151880^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 18564137916984 and 18564137917002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7904725 + ... + 9980628.

Almost surely, 2^{18564137917056} is an apocalyptic number.

18564137917056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18564137917056 is an abundant number, since it is smaller than the sum of its proper divisors (39065692034664).

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

18564137917056 is a wasteful number, since it uses less digits than its factorization.

18564137917056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17885443 (or 17885428 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 18564137917056 in words is "eighteen trillion, five hundred sixty-four billion, one hundred thirty-seven million, nine hundred seventeen thousand, fifty-six".