44105633650144 has 96 divisors (see below), whose sum is σ = 95098630556160. Its totient is φ = 19969354944000.

The previous prime is 44105633650109. The next prime is 44105633650153.

44105633650144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44105633650094 and 44105633650103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 916570917 + ... + 916619035.

It is an arithmetic number, because the mean of its divisors is an integer number (990610734960).

Almost surely, 2^{44105633650144} is an apocalyptic number.

44105633650144 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 44105633650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47549315278080).

44105633650144 is an abundant number, since it is smaller than the sum of its proper divisors (50992996906016).

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

44105633650144 is a wasteful number, since it uses less digits than its factorization.

44105633650144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58304 (or 58296 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 44105633650144 in words is "forty-four trillion, one hundred five billion, six hundred thirty-three million, six hundred fifty thousand, one hundred forty-four".