44166168 has 64 divisors (see below), whose sum is σ = 124408800. Its totient is φ = 14515200.

The previous prime is 44166139. The next prime is 44166169. The reversal of 44166168 is 86166144.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44166169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14368 + ... + 17168.

Almost surely, 2^44166168 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 44166168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62204400).

44166168 is an abundant number, since it is smaller than the sum of its proper divisors (80242632).

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

44166168 is a wasteful number, since it uses less digits than its factorization.

44166168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2879 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 44166168 is about 6645.7631615940. The cubic root of 44166168 is about 353.4786926146.

The spelling of 44166168 in words is "forty-four million, one hundred sixty-six thousand, one hundred sixty-eight".