564534435465 has 512 divisors, whose sum is σ = 1444397875200. Its totient is φ = 201509130240.

The previous prime is 564534435461. The next prime is 564534435467.

564534435465 is a `hidden beast` number, since 5 + 6 + 4 + 53 + 4 + 43 + 546 + 5 = 666.

564534435465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564534435465 - 2² = 564534435461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564534435461) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 114997431 + ... + 115002339.

It is an arithmetic number, because the mean of its divisors is an integer number (2821089600).

Almost surely, 2^564534435465 is an apocalyptic number.

564534435465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564534435465 is an abundant number, since it is smaller than the sum of its proper divisors (879863439735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564534435465 is a wasteful number, since it uses less digits than its factorization.

564534435465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5008 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

It can be divided in two parts, 564534 and 435465, that added together give a palindrome (999999).

The spelling of 564534435465 in words is "five hundred sixty-four billion, five hundred thirty-four million, four hundred thirty-five thousand, four hundred sixty-five".