312884696808320 has 1024 divisors, whose sum is σ = 958582356480000. Its totient is φ = 97005662208000.

The previous prime is 312884696808317. The next prime is 312884696808353. The reversal of 312884696808320 is 23808696488213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138998087195 + ... + 138998089445.

It is an arithmetic number, because the mean of its divisors is an integer number (936115582500).

Almost surely, 2^{312884696808320} 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 312884696808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291178240000).

312884696808320 is an abundant number, since it is smaller than the sum of its proper divisors (645697659671680).

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

312884696808320 is a wasteful number, since it uses less digits than its factorization.

312884696808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 68.

The spelling of 312884696808320 in words is "three hundred twelve trillion, eight hundred eighty-four billion, six hundred ninety-six million, eight hundred eight thousand, three hundred twenty".