111434441244 has 192 divisors, whose sum is σ = 317737728000. Its totient is φ = 29671759872.

The previous prime is 111434441203. The next prime is 111434441263. The reversal of 111434441244 is 442144434111.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93406312 + ... + 93407504.

It is an arithmetic number, because the mean of its divisors is an integer number (1654884000).

Almost surely, 2^111434441244 is an apocalyptic number.

111434441244 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 111434441244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158868864000).

111434441244 is an abundant number, since it is smaller than the sum of its proper divisors (206303286756).

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

111434441244 is a wasteful number, since it uses less digits than its factorization.

111434441244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 111434441244 its reverse (442144434111), we get a palindrome (553578875355).

The spelling of 111434441244 in words is "one hundred eleven billion, four hundred thirty-four million, four hundred forty-one thousand, two hundred forty-four".