44342311324344 has 128 divisors (see below), whose sum is σ = 128300853657600. Its totient is φ = 12629614919040.

The previous prime is 44342311324301. The next prime is 44342311324373.

44342311324344 is nontrivially palindromic in base 10.

44342311324344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×44342311324344² (a number of 28 digits) contains 22 as substring.

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 = 44342311324296 and 44342311324305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34166802 + ... + 35440865.

It is an arithmetic number, because the mean of its divisors is an integer number (1002350419200).

Almost surely, 2^{44342311324344} is an apocalyptic number.

44342311324344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44342311324344 is an abundant number, since it is smaller than the sum of its proper divisors (83958542333256).

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

44342311324344 is a wasteful number, since it uses less digits than its factorization.

44342311324344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69607833 (or 69607829 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4434231 and 1324344, that added together give a palindrome (5758575).

The spelling of 44342311324344 in words is "forty-four trillion, three hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, three hundred forty-four".