44123232144 has 80 divisors (see below), whose sum is σ = 120513358080. Its totient is φ = 13872205440.

The previous prime is 44123232091. The next prime is 44123232149.

44123232144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44123232144² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44123232149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100459 + ... + 313589.

It is an arithmetic number, because the mean of its divisors is an integer number (1506416976).

Almost surely, 2^44123232144 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 44123232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60256679040).

44123232144 is an abundant number, since it is smaller than the sum of its proper divisors (76390125936).

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

44123232144 is a wasteful number, since it uses less digits than its factorization.

44123232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213388 (or 213382 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 44123232144 in words is "forty-four billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred forty-four".