111444207347440 has 320 divisors, whose sum is σ = 288695922278400. Its totient is φ = 39668681733120.

The previous prime is 111444207347377. The next prime is 111444207347483. The reversal of 111444207347440 is 44743702444111.

It is a super-2 number, since 2×111444207347440² (a number of 29 digits) contains 22 as substring.

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, 6123635461 + ... + 6123653659.

It is an arithmetic number, because the mean of its divisors is an integer number (902174757120).

Almost surely, 2^{111444207347440} is an apocalyptic number.

111444207347440 is a gapful number since it is divisible by the number (10) 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 111444207347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144347961139200).

111444207347440 is an abundant number, since it is smaller than the sum of its proper divisors (177251714930960).

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

111444207347440 is a wasteful number, since it uses less digits than its factorization.

111444207347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18934 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 111444207347440 in words is "one hundred eleven trillion, four hundred forty-four billion, two hundred seven million, three hundred forty-seven thousand, four hundred forty".