564411114465 has 48 divisors (see below), whose sum is σ = 1019444846784. Its totient is φ = 266257791360.

The previous prime is 564411114431. The next prime is 564411114523.

It is a happy number.

564411114465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564411114465 - 2¹⁴ = 564411098081 is a prime.

It is a super-2 number, since 2×564411114465² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135147 + ... + 4269456.

It is an arithmetic number, because the mean of its divisors is an integer number (21238434308).

Almost surely, 2^564411114465 is an apocalyptic number.

564411114465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564411114465 is a deficient number, since it is larger than the sum of its proper divisors (455033732319).

564411114465 is a wasteful number, since it uses less digits than its factorization.

564411114465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404670 (or 8404659 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

It can be divided in two parts, 564411 and 114465, that added together give a palindrome (678876).

The spelling of 564411114465 in words is "five hundred sixty-four billion, four hundred eleven million, one hundred fourteen thousand, four hundred sixty-five".