561142152099648 has 168 divisors, whose sum is σ = 1838415519869760. Its totient is φ = 160306301675520.

The previous prime is 561142152099647. The next prime is 561142152099679. The reversal of 561142152099648 is 846990251241165.

It is a happy number.

561142152099648 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 42 + 1 + 520 + 9 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561142152099647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23603803 + ... + 40980773.

Almost surely, 2^{561142152099648} 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 561142152099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919207759934880).

561142152099648 is an abundant number, since it is smaller than the sum of its proper divisors (1277273367770112).

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

561142152099648 is a wasteful number, since it uses less digits than its factorization.

561142152099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17385005 (or 17384992 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 561142152099648 in words is "five hundred sixty-one trillion, one hundred forty-two billion, one hundred fifty-two million, ninety-nine thousand, six hundred forty-eight".