312797407104 has 576 divisors, whose sum is σ = 1150655382240. Its totient is φ = 82475864064.

The previous prime is 312797407103. The next prime is 312797407159. The reversal of 312797407104 is 401704797213.

312797407104 is a `hidden beast` number, since 31 + 27 + 97 + 407 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 312797407104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312797407103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76420482 + ... + 76424574.

Almost surely, 2^312797407104 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 312797407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575327691120).

312797407104 is an abundant number, since it is smaller than the sum of its proper divisors (837857975136).

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

312797407104 is an frugal number, since it uses more digits than its factorization.

312797407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 312797407104 in words is "three hundred twelve billion, seven hundred ninety-seven million, four hundred seven thousand, one hundred four".