561245971968 has 240 divisors, whose sum is σ = 1789428326400. Its totient is φ = 167920496640.

The previous prime is 561245971967. The next prime is 561245972039. The reversal of 561245971968 is 869179542165.

561245971968 is a `hidden beast` number, since 5 + 6 + 1 + 24 + 597 + 19 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561245971967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934273 + ... + 4074431.

It is an arithmetic number, because the mean of its divisors is an integer number (7455951360).

Almost surely, 2^561245971968 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 561245971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894714163200).

561245971968 is an abundant number, since it is smaller than the sum of its proper divisors (1228182354432).

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

561245971968 is a wasteful number, since it uses less digits than its factorization.

561245971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140273 (or 140254 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 561245971968 in words is "five hundred sixty-one billion, two hundred forty-five million, nine hundred seventy-one thousand, nine hundred sixty-eight".