314314317072 has 60 divisors (see below), whose sum is σ = 1005306906240. Its totient is φ = 89804090304.

The previous prime is 314314317071. The next prime is 314314317173. The reversal of 314314317072 is 270713413413.

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

It is not an unprimeable number, because it can be changed into a prime (314314317071) 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 11 ways as a sum of consecutive naturals, for example, 155908872 + ... + 155910887.

It is an arithmetic number, because the mean of its divisors is an integer number (16755115104).

Almost surely, 2^314314317072 is an apocalyptic number.

It is an amenable number.

314314317072 is an abundant number, since it is smaller than the sum of its proper divisors (690992589168).

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

314314317072 is a wasteful number, since it uses less digits than its factorization.

314314317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311819780 (or 311819771 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 314314317072 in words is "three hundred fourteen billion, three hundred fourteen million, three hundred seventeen thousand, seventy-two".