12729254976 has 105 divisors (see below), whose sum is σ = 37757594919. Its totient is φ = 4240377216.

The previous prime is 12729254947. The next prime is 12729254981. The reversal of 12729254976 is 67945292721.

The square root of 12729254976 is 112824.

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

12729254976 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 92 + 549 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8122545 + ... + 8124111.

Almost surely, 2^12729254976 is an apocalyptic number.

12729254976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12729254976 is the 112824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12729254976

12729254976 is an abundant number, since it is smaller than the sum of its proper divisors (25028339943).

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

12729254976 is an frugal number, since it uses more digits than its factorization.

12729254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 1572 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 12729254976 in words is "twelve billion, seven hundred twenty-nine million, two hundred fifty-four thousand, nine hundred seventy-six".