16522233222561 has 64 divisors (see below), whose sum is σ = 25142057441280. Its totient is φ = 9562858583040.

The previous prime is 16522233222559. The next prime is 16522233222587.

16522233222561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16522233222561 - 2¹ = 16522233222559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16522233222661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13629910 + ... + 14792528.

It is an arithmetic number, because the mean of its divisors is an integer number (392844647520).

Almost surely, 2^{16522233222561} is an apocalyptic number.

16522233222561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16522233222561 is a deficient number, since it is larger than the sum of its proper divisors (8619824218719).

16522233222561 is a wasteful number, since it uses less digits than its factorization.

16522233222561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162886.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 1652223 and 3222561, that added together give a palindrome (4874784).

The spelling of 16522233222561 in words is "sixteen trillion, five hundred twenty-two billion, two hundred thirty-three million, two hundred twenty-two thousand, five hundred sixty-one".