561114521876736 has 189 divisors, whose sum is σ = 1679318210188129. Its totient is φ = 187034762907648.

The previous prime is 561114521876719. The next prime is 561114521876743. The reversal of 561114521876736 is 637678125411165.

The square root of 561114521876736 is 23687856.

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

561114521876736 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 1 + 4 + 521 + 8 + 76 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288899368761600 + 272215153115136 = 16997040^2 + 16498944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10233126376 + ... + 10233181208.

Almost surely, 2^{561114521876736} is an apocalyptic number.

561114521876736 is the 23687856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561114521876736

561114521876736 is an abundant number, since it is smaller than the sum of its proper divisors (1118203688311393).

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

561114521876736 is an frugal number, since it uses more digits than its factorization.

561114521876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109700 (or 54838 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 561114521876736 in words is "five hundred sixty-one trillion, one hundred fourteen billion, five hundred twenty-one million, eight hundred seventy-six thousand, seven hundred thirty-six".