12574257768 has 48 divisors (see below), whose sum is σ = 34076760900. Its totient is φ = 4188775680.

The previous prime is 12574257749. The next prime is 12574257793. The reversal of 12574257768 is 86775247521.

12574257768 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 2 + 577 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9184922244 + 3389335524 = 95838^2 + 58218^2 .

It is a super-2 number, since 2×12574257768² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61578 + ... + 170118.

Almost surely, 2^12574257768 is an apocalyptic number.

12574257768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12574257768 is an abundant number, since it is smaller than the sum of its proper divisors (21502503132).

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

12574257768 is a wasteful number, since it uses less digits than its factorization.

12574257768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110162 (or 110155 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 12574257768 in words is "twelve billion, five hundred seventy-four million, two hundred fifty-seven thousand, seven hundred sixty-eight".