13656644440 has 96 divisors (see below), whose sum is σ = 32544776160. Its totient is φ = 5156812800.

The previous prime is 13656644423. The next prime is 13656644467. The reversal of 13656644440 is 4444665631.

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, 4489320 + ... + 4492360.

It is an arithmetic number, because the mean of its divisors is an integer number (339008085).

Almost surely, 2^13656644440 is an apocalyptic number.

13656644440 is a gapful number since it is divisible by the number (10) 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 13656644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272388080).

13656644440 is an abundant number, since it is smaller than the sum of its proper divisors (18888131720).

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

13656644440 is a wasteful number, since it uses less digits than its factorization.

13656644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 13656644440 in words is "thirteen billion, six hundred fifty-six million, six hundred forty-four thousand, four hundred forty".