312086668400 has 120 divisors (see below), whose sum is σ = 809864821584. Its totient is φ = 114889420800.

The previous prime is 312086668381. The next prime is 312086668433. The reversal of 312086668400 is 4866680213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1663355 + ... + 1841445.

Almost surely, 2^312086668400 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 312086668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404932410792).

312086668400 is an abundant number, since it is smaller than the sum of its proper divisors (497778153184).

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

312086668400 is a wasteful number, since it uses less digits than its factorization.

312086668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178459 (or 178448 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 312086668400 in words is "three hundred twelve billion, eighty-six million, six hundred sixty-eight thousand, four hundred".