8166168900 has 180 divisors, whose sum is σ = 26527972240. Its totient is φ = 2173003200.

The previous prime is 8166168889. The next prime is 8166168917. The reversal of 8166168900 is 98616618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5596371 + ... + 5597829.

Almost surely, 2^8166168900 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 8166168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263986120).

8166168900 is an abundant number, since it is smaller than the sum of its proper divisors (18361803340).

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

8166168900 is a wasteful number, since it uses less digits than its factorization.

8166168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8166168900 is about 90366.8573095247. The cubic root of 8166168900 is about 2013.7526242384.

The spelling of 8166168900 in words is "eight billion, one hundred sixty-six million, one hundred sixty-eight thousand, nine hundred".