316564836168361 has 27 divisors (see below), whose sum is σ = 348714911244567. Its totient is φ = 287162951515440.

The previous prime is 316564836168337. The next prime is 316564836168433. The reversal of 316564836168361 is 163861638465613.

It is a happy number.

The square root of 316564836168361 is 17792269.

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., 58854597305625 + 257710238862736 = 7671675^2 + 16053356^2 .

It is not a de Polignac number, because 316564836168361 - 2⁷ = 316564836168233 is a prime.

It is a super-3 number, since 3×316564836168361³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316564836168461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107056081095 + ... + 107056084051.

Almost surely, 2^{316564836168361} is an apocalyptic number.

316564836168361 is the 17792269-th square number.

316564836168361 is the 8896135-th centered octagonal number.

It is an amenable number.

316564836168361 is a deficient number, since it is larger than the sum of its proper divisors (32150075076206).

316564836168361 is an frugal number, since it uses more digits than its factorization.

316564836168361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 3515 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 67.

The spelling of 316564836168361 in words is "three hundred sixteen trillion, five hundred sixty-four billion, eight hundred thirty-six million, one hundred sixty-eight thousand, three hundred sixty-one".