314309507904 has 336 divisors, whose sum is σ = 1066418569216. Its totient is φ = 86612198400.

The previous prime is 314309507879. The next prime is 314309507927. The reversal of 314309507904 is 409705903413.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 314309507904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38368449 + ... + 38376639.

Almost surely, 2^314309507904 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 314309507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533209284608).

314309507904 is an abundant number, since it is smaller than the sum of its proper divisors (752109061312).

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

314309507904 is a wasteful number, since it uses less digits than its factorization.

314309507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 314309507904 in words is "three hundred fourteen billion, three hundred nine million, five hundred seven thousand, nine hundred four".