564435242534465 has 8 divisors (see below), whose sum is σ = 677324536139688. Its totient is φ = 451546697295360.

The previous prime is 564435242534393. The next prime is 564435242534473.

564435242534465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 184890347358721 + 379544895175744 = 13597439^2 + 19481912^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 564435242534465 - 2¹⁰ = 564435242533441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 564435242534398 and 564435242534407.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 185430896 + ... + 188450225.

It is an arithmetic number, because the mean of its divisors is an integer number (84665567017461).

Almost surely, 2^{564435242534465} is an apocalyptic number.

It is an amenable number.

564435242534465 is a deficient number, since it is larger than the sum of its proper divisors (112889293605223).

564435242534465 is a wasteful number, since it uses less digits than its factorization.

564435242534465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374183059.

The product of its digits is 829440000, while the sum is 62.

The spelling of 564435242534465 in words is "five hundred sixty-four trillion, four hundred thirty-five billion, two hundred forty-two million, five hundred thirty-four thousand, four hundred sixty-five".