22466712321 has 27 divisors (see below), whose sum is σ = 34484878051. Its totient is φ = 14091964224.

The previous prime is 22466712311. The next prime is 22466712341. The reversal of 22466712321 is 12321766422.

The square root of 22466712321 is 149889.

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., 17491385025 + 4975327296 = 132255^2 + 70536^2 .

It is not a de Polignac number, because 22466712321 - 2²⁵ = 22433157889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22466712311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7642870 + ... + 7645808.

Almost surely, 2^22466712321 is an apocalyptic number.

22466712321 is the 149889-th square number.

22466712321 is the 74945-th centered octagonal number.

It is an amenable number.

22466712321 is a deficient number, since it is larger than the sum of its proper divisors (12018165730).

22466712321 is an frugal number, since it uses more digits than its factorization.

22466712321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 2959 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

Multiplying 22466712321 by its sum of digits (36), we get a square (808801643556 = 899334²).

The spelling of 22466712321 in words is "twenty-two billion, four hundred sixty-six million, seven hundred twelve thousand, three hundred twenty-one".