561238983168 has 320 divisors, whose sum is σ = 1586727014400. Its totient is φ = 176004218880.

The previous prime is 561238983139. The next prime is 561238983187. The reversal of 561238983168 is 861389832165.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 550773763 + ... + 550774781.

It is an arithmetic number, because the mean of its divisors is an integer number (4958521920).

Almost surely, 2^561238983168 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 561238983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793363507200).

561238983168 is an abundant number, since it is smaller than the sum of its proper divisors (1025488031232).

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

561238983168 is a wasteful number, since it uses less digits than its factorization.

561238983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 60.

The spelling of 561238983168 in words is "five hundred sixty-one billion, two hundred thirty-eight million, nine hundred eighty-three thousand, one hundred sixty-eight".