564145541465 has 64 divisors (see below), whose sum is σ = 773970177024. Its totient is φ = 391154400000.

The previous prime is 564145541441. The next prime is 564145541471.

564145541465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564145541465 - 2³² = 559850574169 is a prime.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 18883790 + ... + 18913640.

It is an arithmetic number, because the mean of its divisors is an integer number (12093284016).

Almost surely, 2^564145541465 is an apocalyptic number.

564145541465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564145541465 is a deficient number, since it is larger than the sum of its proper divisors (209824635559).

564145541465 is a wasteful number, since it uses less digits than its factorization.

564145541465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30102.

The product of its digits is 5760000, while the sum is 50.

The spelling of 564145541465 in words is "five hundred sixty-four billion, one hundred forty-five million, five hundred forty-one thousand, four hundred sixty-five".