8100185168 has 20 divisors (see below), whose sum is σ = 15713824980. Its totient is φ = 4045010912.

The previous prime is 8100185167. The next prime is 8100185173. The reversal of 8100185168 is 8615810018.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1059632704 + 7040552464 = 32552^2 + 83908^2 .

It is a super-2 number, since 2×8100185168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100185161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10162946 + ... + 10163742.

It is an arithmetic number, because the mean of its divisors is an integer number (785691249).

Almost surely, 2^8100185168 is an apocalyptic number.

It is an amenable number.

8100185168 is a deficient number, since it is larger than the sum of its proper divisors (7613639812).

8100185168 is an frugal number, since it uses more digits than its factorization.

8100185168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 38.

The square root of 8100185168 is about 90001.0287052320. The cubic root of 8100185168 is about 2008.3141535324.

The spelling of 8100185168 in words is "eight billion, one hundred million, one hundred eighty-five thousand, one hundred sixty-eight".