12805657344 has 108 divisors (see below), whose sum is σ = 36968454432. Its totient is φ = 4263168000.

The previous prime is 12805657343. The next prime is 12805657357. The reversal of 12805657344 is 44375650821.

12805657344 is a `hidden beast` number, since 1 + 2 + 80 + 565 + 7 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×12805657344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12805657344.

It is not an unprimeable number, because it can be changed into a prime (12805657343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2095894 + ... + 2101994.

It is an arithmetic number, because the mean of its divisors is an integer number (342300504).

Almost surely, 2^12805657344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12805657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484227216).

12805657344 is an abundant number, since it is smaller than the sum of its proper divisors (24162797088).

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

12805657344 is an equidigital number, since it uses as much as digits as its factorization.

12805657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12805657344 in words is "twelve billion, eight hundred five million, six hundred fifty-seven thousand, three hundred forty-four".