12813922759716 has 81 divisors (see below), whose sum is σ = 35074770800979. Its totient is φ = 3942659552832.

The previous prime is 12813922759663. The next prime is 12813922759717. The reversal of 12813922759716 is 61795722931821.

It is a happy number.

The square root of 12813922759716 is 3579654.

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

12813922759716 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 3 + 9 + 2 + 27 + 597 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5526514529316 + 7287408230400 = 2350854^2 + 2699520^2 .

It is not an unprimeable number, because it can be changed into a prime (12813922759717) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279190066 + ... + 279235958.

Almost surely, 2^{12813922759716} is an apocalyptic number.

12813922759716 is the 3579654-th square number.

It is an amenable number.

12813922759716 is an abundant number, since it is smaller than the sum of its proper divisors (22260848041263).

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

12813922759716 is an frugal number, since it uses more digits than its factorization.

12813922759716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91822 (or 45911 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 12813922759716 in words is "twelve trillion, eight hundred thirteen billion, nine hundred twenty-two million, seven hundred fifty-nine thousand, seven hundred sixteen".