314329406328 has 256 divisors, whose sum is σ = 1004716569600. Its totient is φ = 89194659840.

The previous prime is 314329406317. The next prime is 314329406381. The reversal of 314329406328 is 823604923413.

314329406328 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 9 + 4 + 0 + 632 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151046248 + ... + 151048328.

It is an arithmetic number, because the mean of its divisors is an integer number (3924674100).

Almost surely, 2^314329406328 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 314329406328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502358284800).

314329406328 is an abundant number, since it is smaller than the sum of its proper divisors (690387163272).

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

314329406328 is a wasteful number, since it uses less digits than its factorization.

314329406328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 314329406328 in words is "three hundred fourteen billion, three hundred twenty-nine million, four hundred six thousand, three hundred twenty-eight".