561813345072 has 240 divisors, whose sum is σ = 1864958135040. Its totient is φ = 154475693568.

The previous prime is 561813345019. The next prime is 561813345077. The reversal of 561813345072 is 270543318165.

It is a happy number.

561813345072 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 133 + 4 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (561813345077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8942923 + ... + 9005525.

It is an arithmetic number, because the mean of its divisors is an integer number (7770658896).

Almost surely, 2^561813345072 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 561813345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932479067520).

561813345072 is an abundant number, since it is smaller than the sum of its proper divisors (1303144789968).

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

561813345072 is a wasteful number, since it uses less digits than its factorization.

561813345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62960 (or 62951 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 561813345072 in words is "five hundred sixty-one billion, eight hundred thirteen million, three hundred forty-five thousand, seventy-two".