8131576934464 has 21 divisors (see below), whose sum is σ = 16136143248477. Its totient is φ = 4065777060864.

The previous prime is 8131576934399. The next prime is 8131576934521. The reversal of 8131576934464 is 4644396751318.

The square root of 8131576934464 is 2851592.

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., 4691590656064 + 3439986278400 = 2166008^2 + 1854720^2 .

It is a super-2 number, since 2×8131576934464² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22634512 + ... + 22990960.

It is an arithmetic number, because the mean of its divisors is an integer number (768387773737).

Almost surely, 2^{8131576934464} is an apocalyptic number.

8131576934464 is the 2851592-nd square number.

It is an amenable number.

8131576934464 is a deficient number, since it is larger than the sum of its proper divisors (8004566314013).

8131576934464 is an frugal number, since it uses more digits than its factorization.

8131576934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712910 (or 356451 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 8131576934464 in words is "eight trillion, one hundred thirty-one billion, five hundred seventy-six million, nine hundred thirty-four thousand, four hundred sixty-four".