314712044064 has 288 divisors, whose sum is σ = 1013210130240. Its totient is φ = 94963968000.

The previous prime is 314712044011. The next prime is 314712044069. The reversal of 314712044064 is 460440217413.

314712044064 is a `hidden beast` number, since 3 + 1 + 47 + 1 + 204 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (314712044069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25188859 + ... + 25201349.

It is an arithmetic number, because the mean of its divisors is an integer number (3518090730).

Almost surely, 2^314712044064 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 314712044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506605065120).

314712044064 is an abundant number, since it is smaller than the sum of its proper divisors (698498086176).

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

314712044064 is a wasteful number, since it uses less digits than its factorization.

314712044064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12773 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 314712044064 in words is "three hundred fourteen billion, seven hundred twelve million, forty-four thousand, sixty-four".