13620544064656 has 80 divisors (see below), whose sum is σ = 27588258457200. Its totient is φ = 6505990815744.

The previous prime is 13620544064507. The next prime is 13620544064657. The reversal of 13620544064656 is 65646044502631.

It can be written as a sum of positive squares in 8 ways, for example, as 546245159056 + 13074298905600 = 739084^2 + 3615840^2 .

It is not an unprimeable number, because it can be changed into a prime (13620544064657) 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 15 ways as a sum of consecutive naturals, for example, 186881790 + ... + 186954658.

It is an arithmetic number, because the mean of its divisors is an integer number (344853230715).

Almost surely, 2^{13620544064656} is an apocalyptic number.

13620544064656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13620544064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794129228600).

13620544064656 is an abundant number, since it is smaller than the sum of its proper divisors (13967714392544).

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

13620544064656 is a wasteful number, since it uses less digits than its factorization.

13620544064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77156 (or 77150 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 52.

The spelling of 13620544064656 in words is "thirteen trillion, six hundred twenty billion, five hundred forty-four million, sixty-four thousand, six hundred fifty-six".