314468372304 has 240 divisors, whose sum is σ = 964245784320. Its totient is φ = 99053176320.

The previous prime is 314468372263. The next prime is 314468372311. The reversal of 314468372304 is 403273864413.

314468372304 is a `hidden beast` number, since 31 + 446 + 83 + 72 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314468372304.

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 47 ways as a sum of consecutive naturals, for example, 5269674 + ... + 5329014.

It is an arithmetic number, because the mean of its divisors is an integer number (4017690768).

Almost surely, 2^314468372304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314468372304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122892160).

314468372304 is an abundant number, since it is smaller than the sum of its proper divisors (649777412016).

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

314468372304 is a wasteful number, since it uses less digits than its factorization.

314468372304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59440 (or 59422 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 314468372304 in words is "three hundred fourteen billion, four hundred sixty-eight million, three hundred seventy-two thousand, three hundred four".