564930510144 has 448 divisors, whose sum is σ = 2039828109312. Its totient is φ = 133224652800.

The previous prime is 564930510127. The next prime is 564930510167. The reversal of 564930510144 is 441015039465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 564930510096 and 564930510105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11699619 + ... + 11747805.

It is an arithmetic number, because the mean of its divisors is an integer number (4553187744).

Almost surely, 2^564930510144 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 564930510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019914054656).

564930510144 is an abundant number, since it is smaller than the sum of its proper divisors (1474897599168).

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

564930510144 is a wasteful number, since it uses less digits than its factorization.

564930510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48294 (or 48284 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 564930510144 in words is "five hundred sixty-four billion, nine hundred thirty million, five hundred ten thousand, one hundred forty-four".