566106303601665 has 128 divisors (see below), whose sum is σ = 1013514790256640. Its totient is φ = 299799611596800.

The previous prime is 566106303601589. The next prime is 566106303601771.

566106303601665 is a `hidden beast` number, since 5 + 6 + 61 + 0 + 63 + 0 + 360 + 166 + 5 = 666.

566106303601665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 566106303601665 - 2³⁷ = 565968864648193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26055418032 + ... + 26055439758.

It is an arithmetic number, because the mean of its divisors is an integer number (7918084298880).

Almost surely, 2^{566106303601665} is an apocalyptic number.

It is an amenable number.

566106303601665 is a deficient number, since it is larger than the sum of its proper divisors (447408486654975).

566106303601665 is a wasteful number, since it uses less digits than its factorization.

566106303601665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24020 (or 24014 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 566106303601665 in words is "five hundred sixty-six trillion, one hundred six billion, three hundred three million, six hundred one thousand, six hundred sixty-five".