314313508080 has 800 divisors, whose sum is σ = 1287115619328. Its totient is φ = 70083532800.

The previous prime is 314313508057. The next prime is 314313508177. The reversal of 314313508080 is 80805313413.

314313508080 is a `hidden beast` number, since 3 + 143 + 1 + 3 + 508 + 0 + 8 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 399381447 + ... + 399382233.

Almost surely, 2^314313508080 is an apocalyptic number.

314313508080 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 314313508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643557809664).

314313508080 is an abundant number, since it is smaller than the sum of its proper divisors (972802111248).

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

314313508080 is a wasteful number, since it uses less digits than its factorization.

314313508080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 314313508080 in words is "three hundred fourteen billion, three hundred thirteen million, five hundred eight thousand, eighty".