312947379272320 has 768 divisors, whose sum is σ = 898141556017440. Its totient is φ = 103256476876800.

The previous prime is 312947379272287. The next prime is 312947379272399. The reversal of 312947379272320 is 23272973749213.

It can be written as a sum of positive squares in 16 ways, for example, as 27791200453696 + 285156178818624 = 5271736^2 + 16886568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7203941800 + ... + 7203985240.

Almost surely, 2^{312947379272320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312947379272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449070778008720).

312947379272320 is an abundant number, since it is smaller than the sum of its proper divisors (585194176745120).

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

312947379272320 is a wasteful number, since it uses less digits than its factorization.

312947379272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43605 (or 43562 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 61.

The spelling of 312947379272320 in words is "three hundred twelve trillion, nine hundred forty-seven billion, three hundred seventy-nine million, two hundred seventy-two thousand, three hundred twenty".