13185638857056 has 48 divisors (see below), whose sum is σ = 34786233216000. Its totient is φ = 4373126448768.

The previous prime is 13185638857051. The next prime is 13185638857121. The reversal of 13185638857056 is 65075883658131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13185638857056² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185638857051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 345082416 + ... + 345120623.

It is an arithmetic number, because the mean of its divisors is an integer number (724713192000).

Almost surely, 2^{13185638857056} is an apocalyptic number.

13185638857056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13185638857056 is an abundant number, since it is smaller than the sum of its proper divisors (21600594358944).

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

13185638857056 is a wasteful number, since it uses less digits than its factorization.

13185638857056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690203251 (or 690203243 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 66.

The spelling of 13185638857056 in words is "thirteen trillion, one hundred eighty-five billion, six hundred thirty-eight million, eight hundred fifty-seven thousand, fifty-six".