44165332224 has 216 divisors, whose sum is σ = 138359075400. Its totient is φ = 13468041216.

The previous prime is 44165332213. The next prime is 44165332229. The reversal of 44165332224 is 42223356144.

44165332224 is a `hidden beast` number, since 4 + 41 + 65 + 332 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 387302400 + 43778029824 = 19680^2 + 209232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44165332229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378052 + ... + 3391100.

It is an arithmetic number, because the mean of its divisors is an integer number (640551275).

Almost surely, 2^44165332224 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 44165332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69179537700).

44165332224 is an abundant number, since it is smaller than the sum of its proper divisors (94193743176).

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

44165332224 is a wasteful number, since it uses less digits than its factorization.

44165332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13197 (or 13180 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 44165332224 its reverse (42223356144), we get a palindrome (86388688368).

The spelling of 44165332224 in words is "forty-four billion, one hundred sixty-five million, three hundred thirty-two thousand, two hundred twenty-four".