44166144 has 88 divisors (see below), whose sum is σ = 128518848. Its totient is φ = 13373440.

The previous prime is 44166139. The next prime is 44166169.

44166144 is nontrivially palindromic in base 10 and base 13.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33139 + ... + 34445.

Almost surely, 2^44166144 is an apocalyptic number.

44166144 is a gapful number since it is divisible by the number (44) 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 44166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64259424).

44166144 is an abundant number, since it is smaller than the sum of its proper divisors (84352704).

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

44166144 is a wasteful number, since it uses less digits than its factorization.

44166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1323 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 44166144 is about 6645.7613559321. The cubic root of 44166144 is about 353.4786285875.

The spelling of 44166144 in words is "forty-four million, one hundred sixty-six thousand, one hundred forty-four".