312365788416 has 432 divisors, whose sum is σ = 996018895872. Its totient is φ = 93365452800.

The previous prime is 312365788411. The next prime is 312365788417. The reversal of 312365788416 is 614887563213.

312365788416 is a `hidden beast` number, since 3 + 1 + 23 + 6 + 578 + 8 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312365788411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837441606 + ... + 837441978.

It is an arithmetic number, because the mean of its divisors is an integer number (2305599296).

Almost surely, 2^312365788416 is an apocalyptic number.

312365788416 is a gapful number since it is divisible by the number (36) 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 312365788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498009447936).

312365788416 is an abundant number, since it is smaller than the sum of its proper divisors (683653107456).

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

312365788416 is a wasteful number, since it uses less digits than its factorization.

312365788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 312365788416 in words is "three hundred twelve billion, three hundred sixty-five million, seven hundred eighty-eight thousand, four hundred sixteen".