8461889856 has 336 divisors, whose sum is σ = 30266396160. Its totient is φ = 2289876480.

The previous prime is 8461889831. The next prime is 8461889857. The reversal of 8461889856 is 6589881648.

8461889856 is a `hidden beast` number, since 8 + 4 + 618 + 8 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 8461889793 and 8461889802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461889857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2066371 + ... + 2070461.

It is an arithmetic number, because the mean of its divisors is an integer number (90078560).

Almost surely, 2^8461889856 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 8461889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15133198080).

8461889856 is an abundant number, since it is smaller than the sum of its proper divisors (21804506304).

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

8461889856 is a wasteful number, since it uses less digits than its factorization.

8461889856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4122 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The square root of 8461889856 is about 91988.5311112206. The cubic root of 8461889856 is about 2037.7729329184.

The spelling of 8461889856 in words is "eight billion, four hundred sixty-one million, eight hundred eighty-nine thousand, eight hundred fifty-six".