312802795872 has 768 divisors, whose sum is σ = 1097010432000. Its totient is φ = 87733062144.

The previous prime is 312802795867. The next prime is 312802795957. The reversal of 312802795872 is 278597208213.

312802795872 is a `hidden beast` number, since 31 + 2 + 8 + 0 + 27 + 9 + 587 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1992374418 + ... + 1992374574.

It is an arithmetic number, because the mean of its divisors is an integer number (1428399000).

Almost surely, 2^312802795872 is an apocalyptic number.

312802795872 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 312802795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548505216000).

312802795872 is an abundant number, since it is smaller than the sum of its proper divisors (784207636128).

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

312802795872 is an frugal number, since it uses more digits than its factorization.

312802795872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 312802795872 in words is "three hundred twelve billion, eight hundred two million, seven hundred ninety-five thousand, eight hundred seventy-two".