564054450465 has 32 divisors (see below), whose sum is σ = 993244104576. Its totient is φ = 271060751360.

The previous prime is 564054450419. The next prime is 564054450497.

It is a happy number.

564054450465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564054450465 - 2⁹ = 564054449953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15107514 + ... + 15144803.

It is an arithmetic number, because the mean of its divisors is an integer number (31038878268).

Almost surely, 2^564054450465 is an apocalyptic number.

564054450465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564054450465 is a deficient number, since it is larger than the sum of its proper divisors (429189654111).

564054450465 is a wasteful number, since it uses less digits than its factorization.

564054450465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30252449.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 564054450465 in words is "five hundred sixty-four billion, fifty-four million, four hundred fifty thousand, four hundred sixty-five".