564414585414465 has 32 divisors (see below), whose sum is σ = 927512985133440. Its totient is φ = 292871975560704.

The previous prime is 564414585414403. The next prime is 564414585414527.

564414585414465 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (564414585414403) and next prime (564414585414527).

It is not a de Polignac number, because 564414585414465 - 2⁸ = 564414585414209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564414585414396 and 564414585414405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11198235 + ... + 35415104.

It is an arithmetic number, because the mean of its divisors is an integer number (28984780785420).

Almost surely, 2^{564414585414465} is an apocalyptic number.

It is an amenable number.

564414585414465 is a deficient number, since it is larger than the sum of its proper divisors (363098399718975).

564414585414465 is a wasteful number, since it uses less digits than its factorization.

564414585414465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46635201.

The product of its digits is 737280000, while the sum is 66.

The spelling of 564414585414465 in words is "five hundred sixty-four trillion, four hundred fourteen billion, five hundred eighty-five million, four hundred fourteen thousand, four hundred sixty-five".