561854726784 has 192 divisors, whose sum is σ = 1783633761000. Its totient is φ = 168661647360.

The previous prime is 561854726761. The next prime is 561854726801. The reversal of 561854726784 is 487627458165.

561854726784 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 547 + 2 + 6 + 7 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130899240000 + 430955486784 = 361800^2 + 656472^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 156492 + ... + 1071540.

Almost surely, 2^561854726784 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 561854726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891816880500).

561854726784 is an abundant number, since it is smaller than the sum of its proper divisors (1221779034216).

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

561854726784 is a wasteful number, since it uses less digits than its factorization.

561854726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915123 (or 915108 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

It can be divided in two parts, 56185 and 4726784, that added together give a 14-th power (4782969 = 3¹⁴).

The spelling of 561854726784 in words is "five hundred sixty-one billion, eight hundred fifty-four million, seven hundred twenty-six thousand, seven hundred eighty-four".