44145216 has 112 divisors (see below), whose sum is σ = 132283200. Its totient is φ = 14432256.

The previous prime is 44145203. The next prime is 44145229. The reversal of 44145216 is 61254144.

44145216 is a `hidden beast` number, since 441 + 4 + 5 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (44145203) and next prime (44145229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 44145216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101736 + ... + 102168.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^44145216 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 44145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66141600).

44145216 is an abundant number, since it is smaller than the sum of its proper divisors (88137984).

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

44145216 is a wasteful number, since it uses less digits than its factorization.

44145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 44145216 is about 6644.1866319362. The cubic root of 44145216 is about 353.4227881570.

The spelling of 44145216 in words is "forty-four million, one hundred forty-five thousand, two hundred sixteen".