318322768401 has 135 divisors (see below), whose sum is σ = 539619259179. Its totient is φ = 186863371200.

The previous prime is 318322768367. The next prime is 318322768403. The reversal of 318322768401 is 104867223813.

The square root of 318322768401 is 564201.

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

318322768401 is a `hidden beast` number, since 3 + 18 + 3 + 227 + 6 + 8 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15338574801 + 302984193600 = 123849^2 + 550440^2 .

It is not a de Polignac number, because 318322768401 - 2⁷ = 318322768273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (318322768403) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2290091790 + ... + 2290091928.

Almost surely, 2^318322768401 is an apocalyptic number.

318322768401 is the 564201-st square number.

318322768401 is the 282101-st centered octagonal number.

It is an amenable number.

318322768401 is a deficient number, since it is larger than the sum of its proper divisors (221296490778).

318322768401 is an equidigital number, since it uses as much as digits as its factorization.

318322768401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 318322768401 in words is "three hundred eighteen billion, three hundred twenty-two million, seven hundred sixty-eight thousand, four hundred one".