13656348990624 has 48 divisors (see below), whose sum is σ = 36005836493088. Its totient is φ = 4532062947072.

The previous prime is 13656348990623. The next prime is 13656348990629. The reversal of 13656348990624 is 42609984365631.

13656348990624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13656348990623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313312207 + ... + 313355790.

It is an arithmetic number, because the mean of its divisors is an integer number (750121593606).

Almost surely, 2^{13656348990624} is an apocalyptic number.

It is an amenable number.

13656348990624 is an abundant number, since it is smaller than the sum of its proper divisors (22349487502464).

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

13656348990624 is a wasteful number, since it uses less digits than its factorization.

13656348990624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626668237 (or 626668229 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 13656348990624 in words is "thirteen trillion, six hundred fifty-six billion, three hundred forty-eight million, nine hundred ninety thousand, six hundred twenty-four".