564432234465 has 128 divisors (see below), whose sum is σ = 1079187992064. Its totient is φ = 248791040000.

The previous prime is 564432234371. The next prime is 564432234469.

564432234465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564432234465 - 2¹⁰ = 564432233441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564432234469) 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 127 ways as a sum of consecutive naturals, for example, 11591209 + ... + 11639801.

It is an arithmetic number, because the mean of its divisors is an integer number (8431156188).

Almost surely, 2^564432234465 is an apocalyptic number.

564432234465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564432234465 is a deficient number, since it is larger than the sum of its proper divisors (514755757599).

564432234465 is a wasteful number, since it uses less digits than its factorization.

564432234465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48771.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 564432 and 234465, that added together give a palindrome (798897).

The spelling of 564432234465 in words is "five hundred sixty-four billion, four hundred thirty-two million, two hundred thirty-four thousand, four hundred sixty-five".