564561316644 has 96 divisors (see below), whose sum is σ = 1428837459840. Its totient is φ = 172465766400.

The previous prime is 564561316643. The next prime is 564561316679. The reversal of 564561316644 is 446613165465.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (564561316643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17883514 + ... + 17915054.

It is an arithmetic number, because the mean of its divisors is an integer number (14883723540).

Almost surely, 2^564561316644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564561316644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714418729920).

564561316644 is an abundant number, since it is smaller than the sum of its proper divisors (864276143196).

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

564561316644 is a wasteful number, since it uses less digits than its factorization.

564561316644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32381 (or 32379 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 564561316644 in words is "five hundred sixty-four billion, five hundred sixty-one million, three hundred sixteen thousand, six hundred forty-four".