561406987882944 has 1792 divisors, whose sum is σ = 2014027067289600. Its totient is φ = 149991948288000.

The previous prime is 561406987882931. The next prime is 561406987882969. The reversal of 561406987882944 is 449288789604165.

561406987882944 is a `hidden beast` number, since 5 + 6 + 1 + 406 + 98 + 7 + 8 + 82 + 9 + 44 = 666.

It is a super-2 number, since 2×561406987882944² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 338809285764 + ... + 338809287420.

Almost surely, 2^{561406987882944} is an apocalyptic number.

561406987882944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561406987882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007013533644800).

561406987882944 is an abundant number, since it is smaller than the sum of its proper divisors (1452620079406656).

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

561406987882944 is a wasteful number, since it uses less digits than its factorization.

561406987882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 561406987882944 in words is "five hundred sixty-one trillion, four hundred six billion, nine hundred eighty-seven million, eight hundred eighty-two thousand, nine hundred forty-four".