564336426213616 has 80 divisors (see below), whose sum is σ = 1255269117190144. Its totient is φ = 240761733391872.

The previous prime is 564336426213613. The next prime is 564336426213649. The reversal of 564336426213616 is 616312624633465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564336426213613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502530700 + ... + 503652436.

Almost surely, 2^{564336426213616} is an apocalyptic number.

564336426213616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564336426213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627634558595072).

564336426213616 is an abundant number, since it is smaller than the sum of its proper divisors (690932690976528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564336426213616 is a wasteful number, since it uses less digits than its factorization.

564336426213616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142118 (or 1142112 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 58.

The spelling of 564336426213616 in words is "five hundred sixty-four trillion, three hundred thirty-six billion, four hundred twenty-six million, two hundred thirteen thousand, six hundred sixteen".