314319547968 has 112 divisors (see below), whose sum is σ = 838531256640. Its totient is φ = 103906289664.

The previous prime is 314319547963. The next prime is 314319548021. The reversal of 314319547968 is 869745913413.

It is not an unprimeable number, because it can be changed into a prime (314319547963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26602030 + ... + 26613842.

It is an arithmetic number, because the mean of its divisors is an integer number (7486886220).

Almost surely, 2^314319547968 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 314319547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419265628320).

314319547968 is an abundant number, since it is smaller than the sum of its proper divisors (524211708672).

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

314319547968 is a wasteful number, since it uses less digits than its factorization.

314319547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12954 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 314319547968 in words is "three hundred fourteen billion, three hundred nineteen million, five hundred forty-seven thousand, nine hundred sixty-eight".