318811702379401 has 81 divisors (see below), whose sum is σ = 413936977601511. Its totient is φ = 244646164778400.

The previous prime is 318811702379369. The next prime is 318811702379431. The reversal of 318811702379401 is 104973207118813.

The square root of 318811702379401 is 17855299.

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

It can be written as a sum of positive squares in only one way, i.e., 63038851969401 + 255772850410000 = 7939701^2 + 15992900^2 .

It is not a de Polignac number, because 318811702379401 - 2⁵ = 318811702379369 is a prime.

It is a super-2 number, since 2×318811702379401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (318811702379431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92115485811 + ... + 92115489271.

Almost surely, 2^{318811702379401} is an apocalyptic number.

318811702379401 is the 17855299-th square number.

318811702379401 is the 8927650-th centered octagonal number.

It is an amenable number.

318811702379401 is a deficient number, since it is larger than the sum of its proper divisors (95125275222110).

318811702379401 is an frugal number, since it uses more digits than its factorization.

318811702379401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 318811702379401 in words is "three hundred eighteen trillion, eight hundred eleven billion, seven hundred two million, three hundred seventy-nine thousand, four hundred one".