314810302464 has 480 divisors, whose sum is σ = 1080921441600. Its totient is φ = 89690996736.

The previous prime is 314810302451. The next prime is 314810302483. The reversal of 314810302464 is 464203018413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891813712 + ... + 891814064.

It is an arithmetic number, because the mean of its divisors is an integer number (2251919670).

Almost surely, 2^314810302464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314810302464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540460720800).

314810302464 is an abundant number, since it is smaller than the sum of its proper divisors (766111139136).

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

314810302464 is an frugal number, since it uses more digits than its factorization.

314810302464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 314810302464 in words is "three hundred fourteen billion, eight hundred ten million, three hundred two thousand, four hundred sixty-four".