314967064320 has 864 divisors, whose sum is σ = 1167941436480. Its totient is φ = 78246051840.

The previous prime is 314967064303. The next prime is 314967064327. The reversal of 314967064320 is 23460769413.

314967064320 is a `hidden beast` number, since 3 + 1 + 496 + 70 + 64 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314967064327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170881146 + ... + 1170881414.

It is an arithmetic number, because the mean of its divisors is an integer number (1351784070).

Almost surely, 2^314967064320 is an apocalyptic number.

314967064320 is a gapful number since it is divisible by the number (30) 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 314967064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583970718240).

314967064320 is an abundant number, since it is smaller than the sum of its proper divisors (852974372160).

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

314967064320 is a wasteful number, since it uses less digits than its factorization.

314967064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 314967064320 in words is "three hundred fourteen billion, nine hundred sixty-seven million, sixty-four thousand, three hundred twenty".