564111111465 has 96 divisors (see below), whose sum is σ = 1071349493760. Its totient is φ = 272314627200.

The previous prime is 564111111427. The next prime is 564111111523.

564111111465 is a `hidden beast` number, since 5 + 641 + 1 + 1 + 1 + 1 + 1 + 4 + 6 + 5 = 666.

564111111465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564111111465 - 2¹⁰ = 564111110441 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 116766600 + ... + 116771430.

It is an arithmetic number, because the mean of its divisors is an integer number (11159890560).

Almost surely, 2^564111111465 is an apocalyptic number.

564111111465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564111111465 is a deficient number, since it is larger than the sum of its proper divisors (507238382295).

564111111465 is a wasteful number, since it uses less digits than its factorization.

564111111465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5832 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

It can be divided in two parts, 564111 and 111465, that added together give a palindrome (675576).

The spelling of 564111111465 in words is "five hundred sixty-four billion, one hundred eleven million, one hundred eleven thousand, four hundred sixty-five".