8681435136 has 312 divisors, whose sum is σ = 27804840960. Its totient is φ = 2587852800.

The previous prime is 8681435093. The next prime is 8681435143. The reversal of 8681435136 is 6315341868.

8681435136 is a `hidden beast` number, since 8 + 6 + 81 + 435 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8681435091 and 8681435100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32034681 + ... + 32034951.

It is an arithmetic number, because the mean of its divisors is an integer number (89118080).

Almost surely, 2^8681435136 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 8681435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902420480).

8681435136 is an abundant number, since it is smaller than the sum of its proper divisors (19123405824).

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

8681435136 is a wasteful number, since it uses less digits than its factorization.

8681435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 8681435136 is about 93174.2192669195. The cubic root of 8681435136 is about 2055.2461416855.

The spelling of 8681435136 in words is "eight billion, six hundred eighty-one million, four hundred thirty-five thousand, one hundred thirty-six".