564815221820817 has 16 divisors (see below), whose sum is σ = 822770140801728. Its totient is φ = 341803619297280.

The previous prime is 564815221820777. The next prime is 564815221820819. The reversal of 564815221820817 is 718028122518465.

It is a de Polignac number, because none of the positive numbers 2^k-564815221820817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564815221820819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12715886248 + ... + 12715930665.

It is an arithmetic number, because the mean of its divisors is an integer number (51423133800108).

Almost surely, 2^{564815221820817} is an apocalyptic number.

It is an amenable number.

564815221820817 is a deficient number, since it is larger than the sum of its proper divisors (257954918980911).

564815221820817 is a wasteful number, since it uses less digits than its factorization.

564815221820817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25431817600.

The product of its (nonzero) digits is 17203200, while the sum is 60.

The spelling of 564815221820817 in words is "five hundred sixty-four trillion, eight hundred fifteen billion, two hundred twenty-one million, eight hundred twenty thousand, eight hundred seventeen".