165226622561 has 24 divisors (see below), whose sum is σ = 225804225024. Its totient is φ = 118844318880.

The previous prime is 165226622537. The next prime is 165226622569.

165226622561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 165226622561 - 2¹⁸ = 165226360417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165226622569) 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 23 ways as a sum of consecutive naturals, for example, 11783105 + ... + 11797118.

It is an arithmetic number, because the mean of its divisors is an integer number (9408509376).

Almost surely, 2^165226622561 is an apocalyptic number.

165226622561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165226622561 is a deficient number, since it is larger than the sum of its proper divisors (60577602463).

165226622561 is a wasteful number, since it uses less digits than its factorization.

165226622561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580261 (or 23580254 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

It can be divided in two parts, 165226 and 622561, that added together give a palindrome (787787).

The spelling of 165226622561 in words is "one hundred sixty-five billion, two hundred twenty-six million, six hundred twenty-two thousand, five hundred sixty-one".