8161671168 has 432 divisors, whose sum is σ = 28999872720. Its totient is φ = 2158755840.

The previous prime is 8161671149. The next prime is 8161671211. The reversal of 8161671168 is 8611761618.

It is a super-2 number, since 2×8161671168² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133797858 + ... + 133797918.

It is an arithmetic number, because the mean of its divisors is an integer number (67129335).

Almost surely, 2^8161671168 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 8161671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499936360).

8161671168 is an abundant number, since it is smaller than the sum of its proper divisors (20838201552).

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

8161671168 is a wasteful number, since it uses less digits than its factorization.

8161671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 90 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 8161671168 is about 90341.9679218911. The cubic root of 8161671168 is about 2013.3828472928.

The spelling of 8161671168 in words is "eight billion, one hundred sixty-one million, six hundred seventy-one thousand, one hundred sixty-eight".