566546323645665 has 72 divisors (see below), whose sum is σ = 1086278591494824. Its totient is φ = 272939513932800.

The previous prime is 566546323645663. The next prime is 566546323645723.

566546323645665 is a `hidden beast` number, since 5 + 6 + 6 + 54 + 6 + 3 + 2 + 3 + 6 + 4 + 566 + 5 = 666.

566546323645665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 53982111951504 + 512564211694161 = 7347252^2 + 22639881^2 .

It is not a de Polignac number, because 566546323645665 - 2¹ = 566546323645663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 566546323645593 and 566546323645602.

It is not an unprimeable number, because it can be changed into a prime (566546323645663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330511096 + ... + 332220825.

Almost surely, 2^{566546323645665} is an apocalyptic number.

566546323645665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

566546323645665 is a deficient number, since it is larger than the sum of its proper divisors (519732267849159).

566546323645665 is a wasteful number, since it uses less digits than its factorization.

566546323645665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662732111 (or 662732097 counting only the distinct ones).

The product of its digits is 8398080000, while the sum is 72.

The spelling of 566546323645665 in words is "five hundred sixty-six trillion, five hundred forty-six billion, three hundred twenty-three million, six hundred forty-five thousand, six hundred sixty-five".