12504606976 has 81 divisors (see below), whose sum is σ = 25958459163. Its totient is φ = 6011658240.

The previous prime is 12504606943. The next prime is 12504606991. The reversal of 12504606976 is 67960640521.

The square root of 12504606976 is 111824.

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 1012766976 + 11491840000 = 31824^2 + 107200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51886216 + ... + 51886456.

Almost surely, 2^12504606976 is an apocalyptic number.

12504606976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12504606976 is the 111824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12504606976

12504606976 is an abundant number, since it is smaller than the sum of its proper divisors (13453852187).

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

12504606976 is an frugal number, since it uses more digits than its factorization.

12504606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 12504606976 in words is "twelve billion, five hundred four million, six hundred six thousand, nine hundred seventy-six".