66183222121 has 27 divisors (see below), whose sum is σ = 72433959759. Its totient is φ = 60458393088.

The previous prime is 66183222107. The next prime is 66183222137. The reversal of 66183222121 is 12122238166.

The square root of 66183222121 is 257261.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12665026521 + 53518195600 = 112539^2 + 231340^2 .

It is not a de Polignac number, because 66183222121 - 2⁹ = 66183221609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66183223121) 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, 161816965 + ... + 161817373.

Almost surely, 2^66183222121 is an apocalyptic number.

66183222121 is the 257261-st square number.

66183222121 is the 128631-st centered octagonal number.

It is an amenable number.

66183222121 is a deficient number, since it is larger than the sum of its proper divisors (6250737638).

66183222121 is an frugal number, since it uses more digits than its factorization.

66183222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 463 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The spelling of 66183222121 in words is "sixty-six billion, one hundred eighty-three million, two hundred twenty-two thousand, one hundred twenty-one".