8535434688 has 336 divisors, whose sum is σ = 28620573696. Its totient is φ = 2405652480.

The previous prime is 8535434659. The next prime is 8535434701. The reversal of 8535434688 is 8864345358.

8535434688 is a `hidden beast` number, since 8 + 53 + 543 + 46 + 8 + 8 = 666.

It is a super-2 number, since 2×8535434688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5391145 + ... + 5392727.

Almost surely, 2^8535434688 is an apocalyptic number.

8535434688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8535434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310286848).

8535434688 is an abundant number, since it is smaller than the sum of its proper divisors (20085139008).

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

8535434688 is a wasteful number, since it uses less digits than its factorization.

8535434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1659 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 8535434688 is about 92387.4162859856. The cubic root of 8535434688 is about 2043.6595442725.

The spelling of 8535434688 in words is "eight billion, five hundred thirty-five million, four hundred thirty-four thousand, six hundred eighty-eight".