561322144 has 48 divisors (see below), whose sum is σ = 1171172520. Its totient is φ = 264355840.

The previous prime is 561322127. The next prime is 561322159. The reversal of 561322144 is 441223165.

It can be written as a sum of positive squares in 4 ways, for example, as 346406544 + 214915600 = 18612^2 + 14660^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30672 + ... + 45424.

Almost surely, 2^561322144 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 561322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585586260).

561322144 is an abundant number, since it is smaller than the sum of its proper divisors (609850376).

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

561322144 is a wasteful number, since it uses less digits than its factorization.

561322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14833 (or 14825 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 561322144 is about 23692.2380538437. The cubic root of 561322144 is about 824.9052325795.

The spelling of 561322144 in words is "five hundred sixty-one million, three hundred twenty-two thousand, one hundred forty-four".