12879526144 has 81 divisors (see below), whose sum is σ = 26504276659. Its totient is φ = 6246379520.

The previous prime is 12879526123. The next prime is 12879526151. The reversal of 12879526144 is 44162597821.

The square root of 12879526144 is 113488.

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

It can be written as a sum of positive squares in 4 ways, for example, as 90630400 + 12788895744 = 9520^2 + 113088^2 .

It is a Duffinian number.

Its product of digits (967680) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74448042 + ... + 74448214.

Almost surely, 2^12879526144 is an apocalyptic number.

12879526144 is the 113488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12879526144

12879526144 is an abundant number, since it is smaller than the sum of its proper divisors (13624750515).

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

12879526144 is an frugal number, since it uses more digits than its factorization.

12879526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 216 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 12879526144 by its sum of digits (49), we get a square (631096781056 = 794416²).

The spelling of 12879526144 in words is "twelve billion, eight hundred seventy-nine million, five hundred twenty-six thousand, one hundred forty-four".