44334333343344 has 80 divisors (see below), whose sum is σ = 124945082181504. Its totient is φ = 13434337862400.

The previous prime is 44334333343331. The next prime is 44334333343361.

44334333343344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44334333343344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 44334333343293 and 44334333343302.

It is a congruent number.

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, 22587154 + ... + 24471374.

Almost surely, 2^{44334333343344} is an apocalyptic number.

44334333343344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44334333343344 is an abundant number, since it is smaller than the sum of its proper divisors (80610748838160).

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

44334333343344 is a wasteful number, since it uses less digits than its factorization.

44334333343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928806 (or 1928800 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 48.

It can be divided in two parts, 4433433 and 3343344, that added together give a palindrome (7776777).

The spelling of 44334333343344 in words is "forty-four trillion, three hundred thirty-four billion, three hundred thirty-three million, three hundred forty-three thousand, three hundred forty-four".