11517642815013 has 40 divisors (see below), whose sum is σ = 17762893547520. Its totient is φ = 7431788400480.

The previous prime is 11517642814991. The next prime is 11517642815051. The reversal of 11517642815013 is 31051824671511.

11517642815013 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 7 + 64 + 2 + 81 + 501 + 3 = 666.

It is not a de Polignac number, because 11517642815013 - 2⁸ = 11517642814757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11517642815013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11517642813013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9487933 + ... + 10632786.

It is an arithmetic number, because the mean of its divisors is an integer number (444072338688).

Almost surely, 2^{11517642815013} is an apocalyptic number.

It is an amenable number.

11517642815013 is a deficient number, since it is larger than the sum of its proper divisors (6245250732507).

11517642815013 is a wasteful number, since it uses less digits than its factorization.

11517642815013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20120959 (or 20120950 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11517642815013 in words is "eleven trillion, five hundred seventeen billion, six hundred forty-two million, eight hundred fifteen thousand, thirteen".