314409793248 has 72 divisors (see below), whose sum is σ = 895755978936. Its totient is φ = 104609491200.

The previous prime is 314409793193. The next prime is 314409793259. The reversal of 314409793248 is 842397904413.

314409793248 is a `hidden beast` number, since 3 + 1 + 440 + 97 + 93 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 314409793194 and 314409793203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853158 + ... + 1164773.

It is an arithmetic number, because the mean of its divisors is an integer number (12441055263).

Almost surely, 2^314409793248 is an apocalyptic number.

It is an amenable number.

314409793248 is an abundant number, since it is smaller than the sum of its proper divisors (581346185688).

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

314409793248 is a wasteful number, since it uses less digits than its factorization.

314409793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018488 (or 2018477 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 314409793248 in words is "three hundred fourteen billion, four hundred nine million, seven hundred ninety-three thousand, two hundred forty-eight".