861104095847424 has 2112 divisors, whose sum is σ = 3343777895727360. Its totient is φ = 208959638077440.

The previous prime is 861104095847383. The next prime is 861104095847473. The reversal of 861104095847424 is 424748590401168.

861104095847424 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 0 + 4 + 0 + 9 + 584 + 7 + 42 + 4 = 666.

861104095847424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15750052152 + ... + 15750106824.

Almost surely, 2^{861104095847424} 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 861104095847424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671888947863680).

861104095847424 is an abundant number, since it is smaller than the sum of its proper divisors (2482673799879936).

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

861104095847424 is a wasteful number, since it uses less digits than its factorization.

861104095847424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54796 (or 54775 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 861104095847424 in words is "eight hundred sixty-one trillion, one hundred four billion, ninety-five million, eight hundred forty-seven thousand, four hundred twenty-four".