314112064 has 56 divisors (see below), whose sum is σ = 716523840. Its totient is φ = 133833216.

The previous prime is 314112059. The next prime is 314112067. The reversal of 314112064 is 460211413.

314112064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (314112067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78234 + ... + 82150.

Almost surely, 2^314112064 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 314112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358261920).

314112064 is an abundant number, since it is smaller than the sum of its proper divisors (402411776).

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

314112064 is a wasteful number, since it uses less digits than its factorization.

314112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 314112064 is about 17723.2069332838. The cubic root of 314112064 is about 679.7692873605.

Adding to 314112064 its reverse (460211413), we get a palindrome (774323477).

The spelling of 314112064 in words is "three hundred fourteen million, one hundred twelve thousand, sixty-four".