314330074080 has 192 divisors, whose sum is σ = 1127116021248. Its totient is φ = 72888104960.

The previous prime is 314330074073. The next prime is 314330074127. The reversal of 314330074080 is 80470033413.

It is a super-2 number, since 2×314330074080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172739 + ... + 1415618.

It is an arithmetic number, because the mean of its divisors is an integer number (5870395944).

Almost surely, 2^314330074080 is an apocalyptic number.

314330074080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314330074080 is an abundant number, since it is smaller than the sum of its proper divisors (812785947168).

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

314330074080 is a wasteful number, since it uses less digits than its factorization.

314330074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588409 (or 2588401 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 314330074080 in words is "three hundred fourteen billion, three hundred thirty million, seventy-four thousand, eighty".