44444344344444 has 96 divisors (see below), whose sum is σ = 133095362803200. Its totient is φ = 12675748826880.

The previous prime is 44444344344383. The next prime is 44444344344467.

44444344344444 is a `hidden beast` number, since 44 + 44 + 43 + 4 + 43 + 44 + 444 = 666.

44444344344444 is nontrivially palindromic in base 10.

44444344344444 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-3 number, since 3×44444344344444³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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, 1100305224 + ... + 1100345615.

It is an arithmetic number, because the mean of its divisors is an integer number (1386410029200).

Almost surely, 2^{44444344344444} is an apocalyptic number.

44444344344444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44444344344444 is an abundant number, since it is smaller than the sum of its proper divisors (88651018458756).

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

44444344344444 is a wasteful number, since it uses less digits than its factorization.

44444344344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200650880 (or 2200650872 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 54.

It can be divided in two parts, 4444434 and 4344444, that added together give a palindrome (8788878).

The spelling of 44444344344444 in words is "forty-four trillion, four hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, four hundred forty-four".