564535106208 has 108 divisors (see below), whose sum is σ = 1705387066110. Its totient is φ = 177109026816.

The previous prime is 564535106203. The next prime is 564535106221. The reversal of 564535106208 is 802601535465.

564535106208 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 3 + 5 + 10 + 620 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 563238242064 + 1296864144 = 750492^2 + 36012^2 .

It is a super-2 number, since 2×564535106208² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564535106203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3308103 + ... + 3474566.

Almost surely, 2^564535106208 is an apocalyptic number.

It is an amenable number.

564535106208 is an abundant number, since it is smaller than the sum of its proper divisors (1140851959902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564535106208 is a wasteful number, since it uses less digits than its factorization.

564535106208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782719 (or 6782691 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 564535106208 in words is "five hundred sixty-four billion, five hundred thirty-five million, one hundred six thousand, two hundred eight".