8116168032 has 384 divisors, whose sum is σ = 28356894720. Its totient is φ = 2209628160.

The previous prime is 8116168009. The next prime is 8116168051. The reversal of 8116168032 is 2308616118.

8116168032 is a `hidden beast` number, since 8 + 1 + 1 + 616 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13686328 + ... + 13686920.

It is an arithmetic number, because the mean of its divisors is an integer number (73846080).

Almost surely, 2^8116168032 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 8116168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178447360).

8116168032 is an abundant number, since it is smaller than the sum of its proper divisors (20240726688).

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

8116168032 is a wasteful number, since it uses less digits than its factorization.

8116168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8116168032 is about 90089.7776221032. Note that the first 3 decimals coincide. The cubic root of 8116168032 is about 2009.6341860445.

The spelling of 8116168032 in words is "eight billion, one hundred sixteen million, one hundred sixty-eight thousand, thirty-two".