564541404145465 has 8 divisors (see below), whose sum is σ = 677487487084488. Its totient is φ = 451607921909760.

The previous prime is 564541404145429. The next prime is 564541404145471.

564541404145465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 35411354153536 + 529130049991929 = 5950744^2 + 23002827^2 .

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

It is not a de Polignac number, because 564541404145465 - 2¹⁹ = 564541403621177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3150077262 + ... + 3150256471.

It is an arithmetic number, because the mean of its divisors is an integer number (84685935885561).

Almost surely, 2^{564541404145465} is an apocalyptic number.

It is an amenable number.

564541404145465 is a deficient number, since it is larger than the sum of its proper divisors (112946082939023).

564541404145465 is a wasteful number, since it uses less digits than its factorization.

564541404145465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300351659.

The product of its (nonzero) digits is 92160000, while the sum is 58.

The spelling of 564541404145465 in words is "five hundred sixty-four trillion, five hundred forty-one billion, four hundred four million, one hundred forty-five thousand, four hundred sixty-five".