12872263936 has 81 divisors (see below), whose sum is σ = 29918759241. Its totient is φ = 5511238656.

The previous prime is 12872263913. The next prime is 12872263991. The reversal of 12872263936 is 63936227821.

The square root of 12872263936 is 113456.

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., 25401600 + 12846862336 = 5040^2 + 113344^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 12872263936.

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, 12706566 + ... + 12707578.

Almost surely, 2^12872263936 is an apocalyptic number.

12872263936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12872263936 is the 113456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12872263936

12872263936 is an abundant number, since it is smaller than the sum of its proper divisors (17046495305).

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

12872263936 is an frugal number, since it uses more digits than its factorization.

12872263936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 1022 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

Multiplying 12872263936 by its sum of digits (49), we get a square (630740932864 = 794192²).

12872263936 divided by its sum of digits (49) gives a square (262699264 = 16208²).

The spelling of 12872263936 in words is "twelve billion, eight hundred seventy-two million, two hundred sixty-three thousand, nine hundred thirty-six".