12881724948544 has 63 divisors (see below), whose sum is σ = 25743432343741. Its totient is φ = 6395510455040.

The previous prime is 12881724948509. The next prime is 12881724948559. The reversal of 12881724948544 is 44584942718821.

The square root of 12881724948544 is 3589112.

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., 1509182766144 + 11372542182400 = 1228488^2 + 3372320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12881724948544.

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, 4278219999 + ... + 4278223009.

Almost surely, 2^{12881724948544} is an apocalyptic number.

12881724948544 is the 3589112-nd square number.

It is an amenable number.

12881724948544 is a deficient number, since it is larger than the sum of its proper divisors (12861707395197).

12881724948544 is an frugal number, since it uses more digits than its factorization.

12881724948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 3162 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 67.

The spelling of 12881724948544 in words is "twelve trillion, eight hundred eighty-one billion, seven hundred twenty-four million, nine hundred forty-eight thousand, five hundred forty-four".