321966591241 has 9 divisors (see below), whose sum is σ = 325065044941. Its totient is φ = 318897411052.

The previous prime is 321966591227. The next prime is 321966591253. The reversal of 321966591241 is 142195669123.

The square root of 321966591241 is 567421.

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

It is not a de Polignac number, because 321966591241 - 2⁷ = 321966591113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321966594241) 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 8 ways as a sum of consecutive naturals, for example, 60711396 + ... + 60716698.

Almost surely, 2^321966591241 is an apocalyptic number.

321966591241 is the 567421-st square number.

321966591241 is the 283711-st centered octagonal number.

It is an amenable number.

321966591241 is a deficient number, since it is larger than the sum of its proper divisors (3098453700).

321966591241 is an frugal number, since it uses more digits than its factorization.

321966591241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 5410 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

Multiplying 321966591241 by its sum of digits (49), we get a square (15776362970809 = 3971947²).

The spelling of 321966591241 in words is "three hundred twenty-one billion, nine hundred sixty-six million, five hundred ninety-one thousand, two hundred forty-one".