13538687350464 has 56 divisors (see below), whose sum is σ = 39801233651120. Its totient is φ = 4512895782912.

The previous prime is 13538687350453. The next prime is 13538687350481. The reversal of 13538687350464 is 46405378683531.

13538687350464 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 8 + 68 + 7 + 3 + 504 + 64 = 666.

It is a super-2 number, since 2×13538687350464² (a number of 27 digits) contains 22 as substring.

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, 3917442529 + ... + 3917445984.

Almost surely, 2^{13538687350464} is an apocalyptic number.

It is an amenable number.

13538687350464 is an abundant number, since it is smaller than the sum of its proper divisors (26262546300656).

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

13538687350464 is an equidigital number, since it uses as much as digits as its factorization.

13538687350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834888534 (or 7834888518 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 13538687350464 in words is "thirteen trillion, five hundred thirty-eight billion, six hundred eighty-seven million, three hundred fifty thousand, four hundred sixty-four".