224133144444 has 192 divisors, whose sum is σ = 655091458560. Its totient is φ = 65681280000.

The previous prime is 224133144437. The next prime is 224133144467. The reversal of 224133144444 is 444441331422.

224133144444 is a `hidden beast` number, since 2 + 2 + 41 + 33 + 144 + 444 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 224133144399 and 224133144408.

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, 5137764 + ... + 5181204.

It is an arithmetic number, because the mean of its divisors is an integer number (3411934680).

Almost surely, 2^224133144444 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 224133144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327545729280).

224133144444 is an abundant number, since it is smaller than the sum of its proper divisors (430958314116).

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

224133144444 is a wasteful number, since it uses less digits than its factorization.

224133144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43609 (or 43601 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 224133144444 its reverse (444441331422), we get a palindrome (668574475866).

The spelling of 224133144444 in words is "two hundred twenty-four billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred forty-four".