8111659136 has 256 divisors, whose sum is σ = 20416320000. Its totient is φ = 3199021056.

The previous prime is 8111659121. The next prime is 8111659163. The reversal of 8111659136 is 6319561118.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8111659093 and 8111659102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29283830 + ... + 29284106.

It is an arithmetic number, because the mean of its divisors is an integer number (79751250).

Almost surely, 2^8111659136 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 8111659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208160000).

8111659136 is an abundant number, since it is smaller than the sum of its proper divisors (12304660864).

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

8111659136 is a wasteful number, since it uses less digits than its factorization.

8111659136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 8111659136 is about 90064.7496859898. The cubic root of 8111659136 is about 2009.2619697474.

The spelling of 8111659136 in words is "eight billion, one hundred eleven million, six hundred fifty-nine thousand, one hundred thirty-six".