44168344386144 has 48 divisors (see below), whose sum is σ = 126482077108800. Its totient is φ = 13384346783360.

The previous prime is 44168344386143. The next prime is 44168344386161.

44168344386144 is nontrivially palindromic in base 10.

44168344386144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44168344386143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20913040794 + ... + 20913042905.

It is an arithmetic number, because the mean of its divisors is an integer number (2635043273100).

Almost surely, 2^{44168344386144} is an apocalyptic number.

44168344386144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44168344386144 is an abundant number, since it is smaller than the sum of its proper divisors (82313732722656).

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

44168344386144 is a wasteful number, since it uses less digits than its factorization.

44168344386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41826083723 (or 41826083715 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 44168344386144 in words is "forty-four trillion, one hundred sixty-eight billion, three hundred forty-four million, three hundred eighty-six thousand, one hundred forty-four".