12956813584 has 135 divisors (see below), whose sum is σ = 30030212709. Its totient is φ = 5409106560.

The previous prime is 12956813579. The next prime is 12956813603. The reversal of 12956813584 is 48531865921.

It is a happy number.

The square root of 12956813584 is 113828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1916688400 + 11040125184 = 43780^2 + 105072^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

Its product of digits (2073600) is a multiple of the sum of its prime divisors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65109517 + ... + 65109715.

Almost surely, 2^12956813584 is an apocalyptic number.

12956813584 is the 113828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12956813584

12956813584 is an abundant number, since it is smaller than the sum of its proper divisors (17073399125).

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

12956813584 is a wasteful number, since it uses less digits than its factorization.

12956813584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 225 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The spelling of 12956813584 in words is "twelve billion, nine hundred fifty-six million, eight hundred thirteen thousand, five hundred eighty-four".