13506707152116 has 72 divisors (see below), whose sum is σ = 34966382036040. Its totient is φ = 4394400251904.

The previous prime is 13506707152039. The next prime is 13506707152171. The reversal of 13506707152116 is 61125170760531.

13506707152116 is a `hidden beast` number, since 1 + 3 + 50 + 6 + 7 + 0 + 71 + 521 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3531595596516 + 9975111555600 = 1879254^2 + 3158340^2 .

It is a super-2 number, since 2×13506707152116² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17971101 + ... + 18707588.

It is an arithmetic number, because the mean of its divisors is an integer number (485644194945).

Almost surely, 2^{13506707152116} is an apocalyptic number.

It is an amenable number.

13506707152116 is an abundant number, since it is smaller than the sum of its proper divisors (21459674883924).

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

13506707152116 is a wasteful number, since it uses less digits than its factorization.

13506707152116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36678945 (or 36678940 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 13506707152116 in words is "thirteen trillion, five hundred six billion, seven hundred seven million, one hundred fifty-two thousand, one hundred sixteen".