564746680380105 has 24 divisors (see below), whose sum is σ = 978895079864520. Its totient is φ = 301197972960000.

The previous prime is 564746680380097. The next prime is 564746680380131. The reversal of 564746680380105 is 501083086647465.

564746680380105 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 466 + 80 + 3 + 80 + 10 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13338740146176 + 551407940233929 = 3652224^2 + 23482077^2 .

It is not a de Polignac number, because 564746680380105 - 2³ = 564746680380097 is a prime.

It is a super-2 number, since 2×564746680380105² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55738461 + ... + 65086629.

It is an arithmetic number, because the mean of its divisors is an integer number (40787294994355).

Almost surely, 2^{564746680380105} is an apocalyptic number.

It is an amenable number.

564746680380105 is a deficient number, since it is larger than the sum of its proper divisors (414148399484415).

564746680380105 is a wasteful number, since it uses less digits than its factorization.

564746680380105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690681 (or 10690678 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 564746680380105 in words is "five hundred sixty-four trillion, seven hundred forty-six billion, six hundred eighty million, three hundred eighty thousand, one hundred five".