319306891264 has 96 divisors (see below), whose sum is σ = 674008731990. Its totient is φ = 151245029376.

The previous prime is 319306891201. The next prime is 319306891349. The reversal of 319306891264 is 462198603913.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 315610251264 + 3696640000 = 561792^2 + 60800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11815752 + ... + 11842744.

Almost surely, 2^319306891264 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 319306891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337004365995).

319306891264 is an abundant number, since it is smaller than the sum of its proper divisors (354701840726).

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

319306891264 is an frugal number, since it uses more digits than its factorization.

319306891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27061 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 319306891264 in words is "three hundred nineteen billion, three hundred six million, eight hundred ninety-one thousand, two hundred sixty-four".