564442505244465 has 16 divisors (see below), whose sum is σ = 927516332943168. Its totient is φ = 292899894613056.

The previous prime is 564442505244461. The next prime is 564442505244481.

564442505244465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564442505244465 - 2² = 564442505244461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564442505244399 and 564442505244408.

It is not an unprimeable number, because it can be changed into a prime (564442505244461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508506760927 + ... + 508506762036.

It is an arithmetic number, because the mean of its divisors is an integer number (57969770808948).

Almost surely, 2^{564442505244465} is an apocalyptic number.

It is an amenable number.

564442505244465 is a deficient number, since it is larger than the sum of its proper divisors (363073827698703).

564442505244465 is a wasteful number, since it uses less digits than its factorization.

564442505244465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017013523008.

The product of its (nonzero) digits is 368640000, while the sum is 60.

The spelling of 564442505244465 in words is "five hundred sixty-four trillion, four hundred forty-two billion, five hundred five million, two hundred forty-four thousand, four hundred sixty-five".