314772813312 has 240 divisors, whose sum is σ = 865865317680. Its totient is φ = 101610356736.

The previous prime is 314772813301. The next prime is 314772813337. The reversal of 314772813312 is 213318277413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389088364 + ... + 389089172.

It is an arithmetic number, because the mean of its divisors is an integer number (3607772157).

Almost surely, 2^314772813312 is an apocalyptic number.

314772813312 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 314772813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432932658840).

314772813312 is an abundant number, since it is smaller than the sum of its proper divisors (551092504368).

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

314772813312 is an equidigital number, since it uses as much as digits as its factorization.

314772813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 994 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 314772813312 in words is "three hundred fourteen billion, seven hundred seventy-two million, eight hundred thirteen thousand, three hundred twelve".