314642464900 has 27 divisors (see below), whose sum is σ = 682786321231. Its totient is φ = 125854742240.

The previous prime is 314642464849. The next prime is 314642464909. The reversal of 314642464900 is 9464246413.

The square root of 314642464900 is 560930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 56789749636 + 257852715264 = 238306^2 + 507792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314642464909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5581254 + ... + 5637346.

Almost surely, 2^314642464900 is an apocalyptic number.

314642464900 is the 560930-th square number.

It is an amenable number.

314642464900 is an abundant number, since it is smaller than the sum of its proper divisors (368143856331).

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

314642464900 is an frugal number, since it uses more digits than its factorization.

314642464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112200 (or 56100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 314642464900 in words is "three hundred fourteen billion, six hundred forty-two million, four hundred sixty-four thousand, nine hundred".