314942348304 has 60 divisors (see below), whose sum is σ = 911794310700. Its totient is φ = 101360754432.

The previous prime is 314942348291. The next prime is 314942348309. The reversal of 314942348304 is 403843249413.

314942348304 is a `hidden beast` number, since 3 + 149 + 4 + 23 + 483 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260969765904 + 53972582400 = 510852^2 + 232320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314942348304.

It is not an unprimeable number, because it can be changed into a prime (314942348309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37704439 + ... + 37712790.

It is an arithmetic number, because the mean of its divisors is an integer number (15196571845).

Almost surely, 2^314942348304 is an apocalyptic number.

It is an amenable number.

314942348304 is an abundant number, since it is smaller than the sum of its proper divisors (596851962396).

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

314942348304 is a wasteful number, since it uses less digits than its factorization.

314942348304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75417272 (or 75417263 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 314942348304 in words is "three hundred fourteen billion, nine hundred forty-two million, three hundred forty-eight thousand, three hundred four".