564105565501465 has 16 divisors (see below), whose sum is σ = 729164666251728. Its totient is φ = 416475003937536.

The previous prime is 564105565501427. The next prime is 564105565501477.

564105565501465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 89239536302224 + 474866029199241 = 9446668^2 + 21791421^2 .

It is a cyclic number.

It is not a de Polignac number, because 564105565501465 - 2¹⁷ = 564105565370393 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992003334 + ... + 992571823.

It is an arithmetic number, because the mean of its divisors is an integer number (45572791640733).

Almost surely, 2^{564105565501465} is an apocalyptic number.

It is an amenable number.

564105565501465 is a deficient number, since it is larger than the sum of its proper divisors (165059100750263).

564105565501465 is a wasteful number, since it uses less digits than its factorization.

564105565501465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984579548.

The product of its (nonzero) digits is 54000000, while the sum is 58.

The spelling of 564105565501465 in words is "five hundred sixty-four trillion, one hundred five billion, five hundred sixty-five million, five hundred one thousand, four hundred sixty-five".