318185118241 has 27 divisors (see below), whose sum is σ = 336787994361. Its totient is φ = 300595442784.

The previous prime is 318185118239. The next prime is 318185118257. The reversal of 318185118241 is 142811581813.

The square root of 318185118241 is 564079.

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 19964277025 + 298220841216 = 141295^2 + 546096^2 .

It is not a de Polignac number, because 318185118241 - 2¹ = 318185118239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (318185118221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 866989240 + ... + 866989606.

Almost surely, 2^318185118241 is an apocalyptic number.

318185118241 is the 564079-th square number.

318185118241 is the 282040-th centered octagonal number.

It is an amenable number.

318185118241 is a deficient number, since it is larger than the sum of its proper divisors (18602876120).

318185118241 is an frugal number, since it uses more digits than its factorization.

318185118241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its digits is 61440, while the sum is 43.

The spelling of 318185118241 in words is "three hundred eighteen billion, one hundred eighty-five million, one hundred eighteen thousand, two hundred forty-one".