312412963994448 has 320 divisors, whose sum is σ = 887744652705792. Its totient is φ = 94244514693120.

The previous prime is 312412963994437. The next prime is 312412963994489. The reversal of 312412963994448 is 844499369214213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11629847865 + ... + 11629874727.

Almost surely, 2^{312412963994448} 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 312412963994448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443872326352896).

312412963994448 is an abundant number, since it is smaller than the sum of its proper divisors (575331688711344).

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

312412963994448 is a wasteful number, since it uses less digits than its factorization.

312412963994448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29842 (or 29836 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 69.

The spelling of 312412963994448 in words is "three hundred twelve trillion, four hundred twelve billion, nine hundred sixty-three million, nine hundred ninety-four thousand, four hundred forty-eight".