564146544 has 80 divisors (see below), whose sum is σ = 1595321504. Its totient is φ = 170726400.

The previous prime is 564146543. The next prime is 564146551. The reversal of 564146544 is 445641465.

It is a super-2 number, since 2×564146544² = 636522646214287872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564146543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30654 + ... + 45474.

Almost surely, 2^564146544 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 564146544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797660752).

564146544 is an abundant number, since it is smaller than the sum of its proper divisors (1031174960).

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

564146544 is a wasteful number, since it uses less digits than its factorization.

564146544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14900 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 564146544 is about 23751.7692814662. The cubic root of 564146544 is about 826.2864747856.

The spelling of 564146544 in words is "five hundred sixty-four million, one hundred forty-six thousand, five hundred forty-four".