321833828416 has 21 divisors (see below), whose sum is σ = 638648009341. Its totient is φ = 160914644992.

The previous prime is 321833828399. The next prime is 321833828447. The reversal of 321833828416 is 614828338123.

The square root of 321833828416 is 567304.

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., 173688897600 + 148144930816 = 416760^2 + 384896^2 .

It is a super-2 number, since 2×321833828416² (a number of 24 digits) contains 22 as substring.

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 321833828416.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4502976 + ... + 4573888.

Almost surely, 2^321833828416 is an apocalyptic number.

321833828416 is the 567304-th square number.

It is an amenable number.

321833828416 is a deficient number, since it is larger than the sum of its proper divisors (316814180925).

321833828416 is an frugal number, since it uses more digits than its factorization.

321833828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141838 (or 70915 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

Multiplying 321833828416 by its sum of digits (49), we get a square (15769857592384 = 3971128²).

The spelling of 321833828416 in words is "three hundred twenty-one billion, eight hundred thirty-three million, eight hundred twenty-eight thousand, four hundred sixteen".