314714373120 has 1056 divisors, whose sum is σ = 1303640956800. Its totient is φ = 68702699520.

The previous prime is 314714373119. The next prime is 314714373151. The reversal of 314714373120 is 21373417413.

314714373120 is a `hidden beast` number, since 31 + 4 + 71 + 437 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700922656 + ... + 700923104.

Almost surely, 2^314714373120 is an apocalyptic number.

314714373120 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 314714373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651820478400).

314714373120 is an abundant number, since it is smaller than the sum of its proper divisors (988926583680).

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

314714373120 is a wasteful number, since it uses less digits than its factorization.

314714373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 314714373120 in words is "three hundred fourteen billion, seven hundred fourteen million, three hundred seventy-three thousand, one hundred twenty".