321344998129 has 9 divisors (see below), whose sum is σ = 326734467969. Its totient is φ = 316043034960.

The previous prime is 321344998127. The next prime is 321344998147. The reversal of 321344998129 is 921899443123.

It is a happy number.

The square root of 321344998129 is 566873.

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 257764367025 + 63580631104 = 507705^2 + 252152^2 .

It is not a de Polignac number, because 321344998129 - 2¹ = 321344998127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 321344998129.

It is not an unprimeable number, because it can be changed into a prime (321344998123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34574607 + ... + 34583899.

Almost surely, 2^321344998129 is an apocalyptic number.

321344998129 is the 566873-rd square number.

321344998129 is the 283437-th centered octagonal number.

It is an amenable number.

321344998129 is a deficient number, since it is larger than the sum of its proper divisors (5389469840).

321344998129 is an frugal number, since it uses more digits than its factorization.

321344998129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 9354 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The spelling of 321344998129 in words is "three hundred twenty-one billion, three hundred forty-four million, nine hundred ninety-eight thousand, one hundred twenty-nine".