321385814281 has 27 divisors (see below), whose sum is σ = 377826829191. Its totient is φ = 272578917744.

The previous prime is 321385814251. The next prime is 321385814329. The reversal of 321385814281 is 182418583123.

It is a happy number.

The square root of 321385814281 is 566909.

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., 224004370681 + 97381443600 = 473291^2 + 312060^2 .

It is not a de Polignac number, because 321385814281 - 2⁹ = 321385813769 is a prime.

It is a super-2 number, since 2×321385814281² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321385814201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 432551196 + ... + 432551938.

Almost surely, 2^321385814281 is an apocalyptic number.

321385814281 is the 566909-th square number.

321385814281 is the 283455-th centered octagonal number.

It is an amenable number.

321385814281 is a deficient number, since it is larger than the sum of its proper divisors (56441014910).

321385814281 is an frugal number, since it uses more digits than its factorization.

321385814281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The spelling of 321385814281 in words is "three hundred twenty-one billion, three hundred eighty-five million, eight hundred fourteen thousand, two hundred eighty-one".