312545915601920 has 2816 divisors, whose sum is σ = 1095959686348800. Its totient is φ = 82304229703680.

The previous prime is 312545915601919. The next prime is 312545915601949. The reversal of 312545915601920 is 29106519545213.

It is a tau number, because it is divible by the number of its divisors (2816).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 803459937086 + ... + 803459937474.

Almost surely, 2^{312545915601920} 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 312545915601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547979843174400).

312545915601920 is an abundant number, since it is smaller than the sum of its proper divisors (783413770746880).

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

312545915601920 is a wasteful number, since it uses less digits than its factorization.

312545915601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 53.

The spelling of 312545915601920 in words is "three hundred twelve trillion, five hundred forty-five billion, nine hundred fifteen million, six hundred one thousand, nine hundred twenty".