312613426944 has 1296 divisors, whose sum is σ = 1225447921152. Its totient is φ = 78862823424.

The previous prime is 312613426933. The next prime is 312613426963. The reversal of 312613426944 is 449624316213.

312613426944 is a `hidden beast` number, since 3 + 1 + 2 + 613 + 4 + 26 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (746496) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 312613426944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13591888117 + ... + 13591888139.

Almost surely, 2^312613426944 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 312613426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612723960576).

312613426944 is an abundant number, since it is smaller than the sum of its proper divisors (912834494208).

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

312613426944 is an frugal number, since it uses more digits than its factorization.

312613426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 312613426944 in words is "three hundred twelve billion, six hundred thirteen million, four hundred twenty-six thousand, nine hundred forty-four".