312783313920 has 1408 divisors, whose sum is σ = 1358290944000. Its totient is φ = 59454259200.

The previous prime is 312783313907. The next prime is 312783313943. The reversal of 312783313920 is 29313387213.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 696621856 + ... + 696622304.

Almost surely, 2^312783313920 is an apocalyptic number.

312783313920 is a gapful number since it is divisible by the number (30) 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 312783313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679145472000).

312783313920 is an abundant number, since it is smaller than the sum of its proper divisors (1045507630080).

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

312783313920 is a wasteful number, since it uses less digits than its factorization.

312783313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 312783313920 in words is "three hundred twelve billion, seven hundred eighty-three million, three hundred thirteen thousand, nine hundred twenty".