8313062976 has 189 divisors, whose sum is σ = 24867697153. Its totient is φ = 2655045120.

The previous prime is 8313062971. The next prime is 8313063037. The reversal of 8313062976 is 6792603138.

The square root of 8313062976 is 91176.

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

8313062976 is a `hidden beast` number, since 8 + 3 + 13 + 0 + 629 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4359168576 + 3953894400 = 66024^2 + 62880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8313062971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63458431 + ... + 63458561.

Almost surely, 2^8313062976 is an apocalyptic number.

8313062976 is the 91176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8313062976

8313062976 is an abundant number, since it is smaller than the sum of its proper divisors (16554634177).

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

8313062976 is a wasteful number, since it uses less digits than its factorization.

8313062976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 8313062976 is about 2025.7554850960.

The spelling of 8313062976 in words is "eight billion, three hundred thirteen million, sixty-two thousand, nine hundred seventy-six".