44131111113144 has 128 divisors (see below), whose sum is σ = 124352287488000. Its totient is φ = 12935246002560.

The previous prime is 44131111113091. The next prime is 44131111113157.

44131111113144 is nontrivially palindromic in base 10.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17702194 + ... + 20040705.

It is an arithmetic number, because the mean of its divisors is an integer number (971502246000).

Almost surely, 2^{44131111113144} is an apocalyptic number.

44131111113144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44131111113144 is an abundant number, since it is smaller than the sum of its proper divisors (80221176374856).

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

44131111113144 is a wasteful number, since it uses less digits than its factorization.

44131111113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37743065 (or 37743061 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 4413111 and 1113144, that added together give a palindrome (5526255).

The spelling of 44131111113144 in words is "forty-four trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred forty-four".