564364566351 has 48 divisors (see below), whose sum is σ = 879406070400. Its totient is φ = 347615343936.

The previous prime is 564364566331. The next prime is 564364566377. The reversal of 564364566351 is 153665463465.

564364566351 is a `hidden beast` number, since 5 + 6 + 43 + 6 + 4 + 566 + 35 + 1 = 666.

It is not a de Polignac number, because 564364566351 - 2⁷ = 564364566223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564364566331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742740 + ... + 4860278.

It is an arithmetic number, because the mean of its divisors is an integer number (18320959800).

Almost surely, 2^564364566351 is an apocalyptic number.

564364566351 is a deficient number, since it is larger than the sum of its proper divisors (315041504049).

564364566351 is a wasteful number, since it uses less digits than its factorization.

564364566351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118260 (or 118257 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 564364566351 in words is "five hundred sixty-four billion, three hundred sixty-four million, five hundred sixty-six thousand, three hundred fifty-one".