561116448 has 72 divisors (see below), whose sum is σ = 1600155648. Its totient is φ = 186513792.

The previous prime is 561116443. The next prime is 561116449. The reversal of 561116448 is 844611165.

561116448 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×561116448² = 629703336432273408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (561116443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107761 + ... + 112847.

It is an arithmetic number, because the mean of its divisors is an integer number (22224384).

Almost surely, 2^561116448 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 561116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800077824).

561116448 is an abundant number, since it is smaller than the sum of its proper divisors (1039039200).

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

561116448 is a wasteful number, since it uses less digits than its factorization.

561116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 561116448 is about 23687.8966563095. The cubic root of 561116448 is about 824.8044583395.

The spelling of 561116448 in words is "five hundred sixty-one million, one hundred sixteen thousand, four hundred forty-eight".