8151116688 has 360 divisors, whose sum is σ = 27911380224. Its totient is φ = 2186956800.

The previous prime is 8151116663. The next prime is 8151116693. The reversal of 8151116688 is 8866111518.

It is a happy number.

It is a super-2 number, since 2×8151116688² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72133720 + ... + 72133832.

Almost surely, 2^8151116688 is an apocalyptic number.

8151116688 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 8151116688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955690112).

8151116688 is an abundant number, since it is smaller than the sum of its proper divisors (19760263536).

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

8151116688 is a wasteful number, since it uses less digits than its factorization.

8151116688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 173 counting only the distinct ones).

The product of its digits is 92160, while the sum is 45.

The square root of 8151116688 is about 90283.5349773147. The cubic root of 8151116688 is about 2012.5145865640.

The spelling of 8151116688 in words is "eight billion, one hundred fifty-one million, one hundred sixteen thousand, six hundred eighty-eight".