564408115441 has 9 divisors (see below), whose sum is σ = 573008950731. Its totient is φ = 555934529832.

The previous prime is 564408115391. The next prime is 564408115459. The reversal of 564408115441 is 144511804465.

The square root of 564408115441 is 751271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22423565025 + 541984550416 = 149745^2 + 736196^2 .

It is not a de Polignac number, because 564408115441 - 2⁹ = 564408114929 is a prime.

It is a super-3 number, since 3×564408115441³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564408118441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50329551 + ... + 50340763.

Almost surely, 2^564408115441 is an apocalyptic number.

564408115441 is the 751271-st square number.

564408115441 is the 375636-th centered octagonal number.

It is an amenable number.

564408115441 is a deficient number, since it is larger than the sum of its proper divisors (8600835290).

564408115441 is an frugal number, since it uses more digits than its factorization.

564408115441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22560 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 564408115441 in words is "five hundred sixty-four billion, four hundred eight million, one hundred fifteen thousand, four hundred forty-one".