564436634465 has 16 divisors (see below), whose sum is σ = 754620122880. Its totient is φ = 401765339520.

The previous prime is 564436634459. The next prime is 564436634471.

564436634465 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (564436634459) and next prime (564436634471).

It is not a de Polignac number, because 564436634465 - 2¹² = 564436630369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564436634465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109172780 + ... + 109177949.

It is an arithmetic number, because the mean of its divisors is an integer number (47163757680).

Almost surely, 2^564436634465 is an apocalyptic number.

564436634465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564436634465 is a deficient number, since it is larger than the sum of its proper divisors (190183488415).

564436634465 is a wasteful number, since it uses less digits than its factorization.

564436634465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218350792.

The product of its digits is 74649600, while the sum is 56.

The spelling of 564436634465 in words is "five hundred sixty-four billion, four hundred thirty-six million, six hundred thirty-four thousand, four hundred sixty-five".