13665340656 has 160 divisors (see below), whose sum is σ = 45307814400. Its totient is φ = 3897400320.

The previous prime is 13665340651. The next prime is 13665340669. The reversal of 13665340656 is 65604356631.

13665340656 is a `hidden beast` number, since 1 + 3 + 66 + 534 + 0 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13665340651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796 + ... + 165363.

It is an arithmetic number, because the mean of its divisors is an integer number (283173840).

Almost surely, 2^13665340656 is an apocalyptic number.

13665340656 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 13665340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653907200).

13665340656 is an abundant number, since it is smaller than the sum of its proper divisors (31642473744).

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

13665340656 is a wasteful number, since it uses less digits than its factorization.

13665340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169204 (or 169192 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 13665340656 in words is "thirteen billion, six hundred sixty-five million, three hundred forty thousand, six hundred fifty-six".