312712468992 has 1280 divisors, whose sum is σ = 1232046858240. Its totient is φ = 75910348800.

The previous prime is 312712468931. The next prime is 312712468997. The reversal of 312712468992 is 299864217213.

312712468992 is a `hidden beast` number, since 312 + 7 + 1 + 246 + 89 + 9 + 2 = 666.

It is a super-2 number, since 2×312712468992² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (312712468997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1297561992 + ... + 1297562232.

It is an arithmetic number, because the mean of its divisors is an integer number (962536608).

Almost surely, 2^312712468992 is an apocalyptic number.

312712468992 is a gapful number since it is divisible by the number (32) 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 312712468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616023429120).

312712468992 is an abundant number, since it is smaller than the sum of its proper divisors (919334389248).

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

312712468992 is a wasteful number, since it uses less digits than its factorization.

312712468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 312712468992 in words is "three hundred twelve billion, seven hundred twelve million, four hundred sixty-eight thousand, nine hundred ninety-two".