561132831744 has 495 divisors, whose sum is σ = 1787645470507. Its totient is φ = 176041672704.

The previous prime is 561132831683. The next prime is 561132831767. The reversal of 561132831744 is 447138231165.

The square root of 561132831744 is 749088.

It is a perfect power (a square), and thus also a powerful number.

561132831744 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 328 + 317 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174149305344 + 386983526400 = 417312^2 + 622080^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=612.

It is a super-2 number, since 2×561132831744² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (483840) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 561132831744.

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 44 ways as a sum of consecutive naturals, for example, 33007813624 + ... + 33007813640.

Almost surely, 2^561132831744 is an apocalyptic number.

561132831744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

561132831744 is the 749088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561132831744

561132831744 is an abundant number, since it is smaller than the sum of its proper divisors (1226512638763).

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

561132831744 is an frugal number, since it uses more digits than its factorization.

561132831744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 22 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 561132831744 in words is "five hundred sixty-one billion, one hundred thirty-two million, eight hundred thirty-one thousand, seven hundred forty-four".