13647135071664 has 120 divisors (see below), whose sum is σ = 40529075258880. Its totient is φ = 4277510219136.

The previous prime is 13647135071623. The next prime is 13647135071681. The reversal of 13647135071664 is 46617053174631.

13647135071664 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 71 + 3 + 507 + 1 + 6 + 64 = 666.

13647135071664 is digitally balanced in base 2, because in such base 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 13647135071664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34724184 + ... + 35114999.

It is an arithmetic number, because the mean of its divisors is an integer number (337742293824).

Almost surely, 2^{13647135071664} is an apocalyptic number.

It is an amenable number.

13647135071664 is an abundant number, since it is smaller than the sum of its proper divisors (26881940187216).

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

13647135071664 is a wasteful number, since it uses less digits than its factorization.

13647135071664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69839279 (or 69839270 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13647135071664 in words is "thirteen trillion, six hundred forty-seven billion, one hundred thirty-five million, seventy-one thousand, six hundred sixty-four".