562644144 has 120 divisors (see below), whose sum is σ = 1668226560. Its totient is φ = 183498048.

The previous prime is 562644139. The next prime is 562644161. The reversal of 562644144 is 441446265.

562644144 is a `hidden beast` number, since 5 + 6 + 2 + 644 + 1 + 4 + 4 = 666.

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 = 562644099 and 562644108.

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, 181197 + ... + 184275.

It is an arithmetic number, because the mean of its divisors is an integer number (13901888).

Almost surely, 2^562644144 is an apocalyptic number.

562644144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834113280).

562644144 is an abundant number, since it is smaller than the sum of its proper divisors (1105582416).

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

562644144 is a wasteful number, since it uses less digits than its factorization.

562644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3131 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 562644144 is about 23720.1210789490. The cubic root of 562644144 is about 825.5523177573.

It can be divided in two parts, 5626 and 44144, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 562644144 in words is "five hundred sixty-two million, six hundred forty-four thousand, one hundred forty-four".