564416245223160 has 768 divisors, whose sum is σ = 2022877753344000. Its totient is φ = 125411126860800.

The previous prime is 564416245223119. The next prime is 564416245223177. The reversal of 564416245223160 is 61322542614465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44292251749 + ... + 44292264491.

It is an arithmetic number, because the mean of its divisors is an integer number (2633955408000).

Almost surely, 2^{564416245223160} 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 564416245223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011438876672000).

564416245223160 is an abundant number, since it is smaller than the sum of its proper divisors (1458461508120840).

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

564416245223160 is a wasteful number, since it uses less digits than its factorization.

564416245223160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18008 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 564416245223160 in words is "five hundred sixty-four trillion, four hundred sixteen billion, two hundred forty-five million, two hundred twenty-three thousand, one hundred sixty".