111111444444 has 576 divisors, whose sum is σ = 368472222720. Its totient is φ = 25145303040.

The previous prime is 111111444419. The next prime is 111111444461. The reversal of 111111444444 is 444444111111.

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1248443152 + ... + 1248443240.

It is an arithmetic number, because the mean of its divisors is an integer number (639708720).

Almost surely, 2^111111444444 is an apocalyptic number.

111111444444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111111444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184236111360).

111111444444 is an abundant number, since it is smaller than the sum of its proper divisors (257360778276).

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

111111444444 is a wasteful number, since it uses less digits than its factorization.

111111444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 215 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

Adding to 111111444444 its reverse (444444111111), we get a palindrome (555555555555).

It can be divided in two parts, 111111 and 444444, that multiplied together give a square (49382617284 = 222222²).

The spelling of 111111444444 in words is "one hundred eleven billion, one hundred eleven million, four hundred forty-four thousand, four hundred forty-four".