566541144 has 96 divisors (see below), whose sum is σ = 1661587200. Its totient is φ = 173352960.

The previous prime is 566541127. The next prime is 566541161. The reversal of 566541144 is 441145665.

566541144 is a `hidden beast` number, since 566 + 54 + 1 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (566541127) and next prime (566541161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 566541099 and 566541108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177192 + ... + 180360.

It is an arithmetic number, because the mean of its divisors is an integer number (17308200).

Almost surely, 2^566541144 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 566541144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830793600).

566541144 is an abundant number, since it is smaller than the sum of its proper divisors (1095046056).

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

566541144 is a wasteful number, since it uses less digits than its factorization.

566541144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 566541144 is about 23802.1247791032. The cubic root of 566541144 is about 827.4539212453.

The spelling of 566541144 in words is "five hundred sixty-six million, five hundred forty-one thousand, one hundred forty-four".