16579444497561 has 24 divisors (see below), whose sum is σ = 27661960875744. Its totient is φ = 9457080639360.

The previous prime is 16579444497523. The next prime is 16579444497611.

16579444497561 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 94 + 44 + 497 + 5 + 6 + 1 = 666.

16579444497561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16579444497561 - 2¹⁹ = 16579443973273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16579444497561.

It is not an unprimeable number, because it can be changed into a prime (16579444497061) 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 23 ways as a sum of consecutive naturals, for example, 4925561151 + ... + 4925564516.

It is an arithmetic number, because the mean of its divisors is an integer number (1152581703156).

Almost surely, 2^{16579444497561} is an apocalyptic number.

16579444497561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16579444497561 is a deficient number, since it is larger than the sum of its proper divisors (11082516378183).

16579444497561 is a wasteful number, since it uses less digits than its factorization.

16579444497561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851125701 (or 9851125698 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 16579444497561 in words is "sixteen trillion, five hundred seventy-nine billion, four hundred forty-four million, four hundred ninety-seven thousand, five hundred sixty-one".