312950361894912 has 2496 divisors, whose sum is σ = 1142783996006400. Its totient is φ = 85329867571200.

The previous prime is 312950361894857. The next prime is 312950361894913. The reversal of 312950361894912 is 219498163059213.

312950361894912 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 5 + 0 + 3 + 61 + 89 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 312950361894912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312950361894913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1483177070487 + ... + 1483177070697.

Almost surely, 2^{312950361894912} is an apocalyptic number.

312950361894912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312950361894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571391998003200).

312950361894912 is an abundant number, since it is smaller than the sum of its proper divisors (829833634111488).

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

312950361894912 is an equidigital number, since it uses as much as digits as its factorization.

312950361894912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 312950361894912 in words is "three hundred twelve trillion, nine hundred fifty billion, three hundred sixty-one million, eight hundred ninety-four thousand, nine hundred twelve".