112224431103444 has 288 divisors, whose sum is σ = 330626978188416. Its totient is φ = 31719059005440.

The previous prime is 112224431103437. The next prime is 112224431103517. The reversal of 112224431103444 is 444301134422211.

112224431103444 is a `hidden beast` number, since 1 + 12 + 22 + 443 + 110 + 34 + 44 = 666.

It is a super-2 number, since 2×112224431103444² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112224431103399 and 112224431103408.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 541277062 + ... + 541484354.

It is an arithmetic number, because the mean of its divisors is an integer number (1148010340932).

Almost surely, 2^{112224431103444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112224431103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165313489094208).

112224431103444 is an abundant number, since it is smaller than the sum of its proper divisors (218402547084972).

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

112224431103444 is a wasteful number, since it uses less digits than its factorization.

112224431103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208055 (or 208050 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 112224431103444 its reverse (444301134422211), we get a palindrome (556525565525655).

The spelling of 112224431103444 in words is "one hundred twelve trillion, two hundred twenty-four billion, four hundred thirty-one million, one hundred three thousand, four hundred forty-four".