164991168 has 126 divisors (see below), whose sum is σ = 495240564. Its totient is φ = 54463104.

The previous prime is 164991139. The next prime is 164991181. The reversal of 164991168 is 861199461.

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

Its product of digits (93312) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1601805 + ... + 1601907.

Almost surely, 2^164991168 is an apocalyptic number.

164991168 is a gapful number since it is divisible by the number (18) 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 164991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247620282).

164991168 is an abundant number, since it is smaller than the sum of its proper divisors (330249396).

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

164991168 is an frugal number, since it uses more digits than its factorization.

164991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 108 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 164991168 is about 12844.8887889308. Note that the first 3 decimals coincide. The cubic root of 164991168 is about 548.4708688441.

The spelling of 164991168 in words is "one hundred sixty-four million, nine hundred ninety-one thousand, one hundred sixty-eight".