314084480320 has 112 divisors (see below), whose sum is σ = 824177249280. Its totient is φ = 113272621056.

The previous prime is 314084480291. The next prime is 314084480351. The reversal of 314084480320 is 23084480413.

It is a self number, because there is not a number n which added to its sum of digits gives 314084480320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699040 + ... + 1056799.

It is an arithmetic number, because the mean of its divisors is an integer number (7358725440).

Almost surely, 2^314084480320 is an apocalyptic number.

It is an amenable number.

314084480320 is an abundant number, since it is smaller than the sum of its proper divisors (510092768960).

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

314084480320 is a wasteful number, since it uses less digits than its factorization.

314084480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755912 (or 1755902 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 314084480320 in words is "three hundred fourteen billion, eighty-four million, four hundred eighty thousand, three hundred twenty".