314840674560 has 288 divisors, whose sum is σ = 1065940767360. Its totient is φ = 78924611584.

The previous prime is 314840674529. The next prime is 314840674601. The reversal of 314840674560 is 65476048413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66517954 + ... + 66522686.

It is an arithmetic number, because the mean of its divisors is an integer number (3701183220).

Almost surely, 2^314840674560 is an apocalyptic number.

314840674560 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 314840674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532970383680).

314840674560 is an abundant number, since it is smaller than the sum of its proper divisors (751100092800).

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

314840674560 is a wasteful number, since it uses less digits than its factorization.

314840674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 314840674560 in words is "three hundred fourteen billion, eight hundred forty million, six hundred seventy-four thousand, five hundred sixty".