564141465 has 12 divisors (see below), whose sum is σ = 977845284. Its totient is φ = 300875424.

The previous prime is 564141463. The next prime is 564141469.

564141465 is a `hidden beast` number, since 5 + 641 + 4 + 1 + 4 + 6 + 5 = 666.

564141465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 462293001 = 10092^2 + 21501^2 .

It is not a de Polignac number, because 564141465 - 2¹ = 564141463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564141463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6268194 + ... + 6268283.

It is an arithmetic number, because the mean of its divisors is an integer number (81487107).

Almost surely, 2^564141465 is an apocalyptic number.

It is an amenable number.

564141465 is a deficient number, since it is larger than the sum of its proper divisors (413703819).

564141465 is a wasteful number, since it uses less digits than its factorization.

564141465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536488 (or 12536485 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 564141465 is about 23751.6623628747. The cubic root of 564141465 is about 826.2839950980.

The spelling of 564141465 in words is "five hundred sixty-four million, one hundred forty-one thousand, four hundred sixty-five".