332221505122233 has 6 divisors (see below), whose sum is σ = 479875507398794. Its totient is φ = 221481003414816.

The previous prime is 332221505122219. The next prime is 332221505122303.

332221505122233 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 1 + 505 + 122 + 23 + 3 = 666.

332221505122233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 330176628002169 + 2044877120064 = 18170763^2 + 1429992^2 .

It is not a de Polignac number, because 332221505122233 - 2⁵ = 332221505122201 is a prime.

It is a super-2 number, since 2×332221505122233² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332221505122733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18456750284560 + ... + 18456750284577.

Almost surely, 2^{332221505122233} is an apocalyptic number.

It is an amenable number.

332221505122233 is a deficient number, since it is larger than the sum of its proper divisors (147654002276561).

332221505122233 is a wasteful number, since it uses less digits than its factorization.

332221505122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36913500569143 (or 36913500569140 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 33222150 and 5122233, that added together give a palindrome (38344383).

The spelling of 332221505122233 in words is "three hundred thirty-two trillion, two hundred twenty-one billion, five hundred five million, one hundred twenty-two thousand, two hundred thirty-three".