318817200321 has 27 divisors (see below), whose sum is σ = 465122247681. Its totient is φ = 210438696744.

The previous prime is 318817200311. The next prime is 318817200323. The reversal of 318817200321 is 123002718813.

The square root of 318817200321 is 564639.

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

318817200321 is a `hidden beast` number, since 318 + 8 + 17 + 2 + 0 + 0 + 321 = 666.

It is not a de Polignac number, because 318817200321 - 2¹³ = 318817192129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (318817200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181248240 + ... + 181249998.

Almost surely, 2^318817200321 is an apocalyptic number.

318817200321 is the 564639-th square number.

318817200321 is the 282320-th centered octagonal number.

It is an amenable number.

318817200321 is a deficient number, since it is larger than the sum of its proper divisors (146305047360).

318817200321 is an frugal number, since it uses more digits than its factorization.

318817200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 318817200321 by its sum of digits (36), we get a square (11477419211556 = 3387834²).

The spelling of 318817200321 in words is "three hundred eighteen billion, eight hundred seventeen million, two hundred thousand, three hundred twenty-one".