13564132813764 has 72 divisors (see below), whose sum is σ = 38197845318360. Its totient is φ = 4029662794752.

The previous prime is 13564132813753. The next prime is 13564132813769. The reversal of 13564132813764 is 46731823146531.

13564132813764 is a `hidden beast` number, since 1 + 3 + 5 + 64 + 132 + 81 + 376 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 602750376900 + 12961382436864 = 776370^2 + 3600192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13564132813764.

It is not an unprimeable number, because it can be changed into a prime (13564132813769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499696597 + ... + 499723740.

Almost surely, 2^{13564132813764} is an apocalyptic number.

It is an amenable number.

13564132813764 is an abundant number, since it is smaller than the sum of its proper divisors (24633712504596).

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

13564132813764 is a wasteful number, since it uses less digits than its factorization.

13564132813764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999420389 (or 999420384 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 13564132813764 in words is "thirteen trillion, five hundred sixty-four billion, one hundred thirty-two million, eight hundred thirteen thousand, seven hundred sixty-four".