312961447008 has 480 divisors, whose sum is σ = 1064846502720. Its totient is φ = 88325406720.

The previous prime is 312961446989. The next prime is 312961447009. The reversal of 312961447008 is 800744169213.

312961447008 is a `hidden beast` number, since 3 + 1 + 29 + 614 + 4 + 7 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312961447009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 765186708 + ... + 765187116.

It is an arithmetic number, because the mean of its divisors is an integer number (2218430214).

Almost surely, 2^312961447008 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 312961447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532423251360).

312961447008 is an abundant number, since it is smaller than the sum of its proper divisors (751885055712).

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

312961447008 is a wasteful number, since it uses less digits than its factorization.

312961447008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 312961447008 in words is "three hundred twelve billion, nine hundred sixty-one million, four hundred forty-seven thousand, eight".