312510068676 has 135 divisors (see below), whose sum is σ = 885010914711. Its totient is φ = 96116694336.

The previous prime is 312510068653. The next prime is 312510068687. The reversal of 312510068676 is 676860015213.

The square root of 312510068676 is 559026.

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

312510068676 is a `hidden beast` number, since 3 + 1 + 2 + 510 + 0 + 68 + 6 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123264188100 + 189245880576 = 351090^2 + 435024^2 .

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 44 ways as a sum of consecutive naturals, for example, 130810890 + ... + 130813278.

Almost surely, 2^312510068676 is an apocalyptic number.

312510068676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312510068676 is the 559026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312510068676

312510068676 is an abundant number, since it is smaller than the sum of its proper divisors (572500846035).

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

312510068676 is an equidigital number, since it uses as much as digits as its factorization.

312510068676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 312510068676 in words is "three hundred twelve billion, five hundred ten million, sixty-eight thousand, six hundred seventy-six".