44331613344 has 144 divisors (see below), whose sum is σ = 130274700192. Its totient is φ = 14289053184.

The previous prime is 44331613331. The next prime is 44331613351.

44331613344 is a `hidden beast` number, since 4 + 4 + 3 + 3 + 1 + 613 + 34 + 4 = 666.

44331613344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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 junction number, because it is equal to n+sod(n) for n = 44331613299 and 44331613308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724167 + ... + 1749689.

It is an arithmetic number, because the mean of its divisors is an integer number (904685418).

Almost surely, 2^44331613344 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 44331613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65137350096).

44331613344 is an abundant number, since it is smaller than the sum of its proper divisors (85943086848).

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

44331613344 is a wasteful number, since it uses less digits than its factorization.

44331613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25728 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 44331613344 in words is "forty-four billion, three hundred thirty-one million, six hundred thirteen thousand, three hundred forty-four".