11221144224444 has 432 divisors, whose sum is σ = 36705776286816. Its totient is φ = 2857133260800.

The previous prime is 11221144224443. The next prime is 11221144224463. The reversal of 11221144224444 is 44442244112211.

11221144224444 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 4 + 422 + 4 + 4 + 4 + 4 = 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 zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11221144224399 and 11221144224408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221144224443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1399664724 + ... + 1399672740.

It is an arithmetic number, because the mean of its divisors is an integer number (84967074738).

Almost surely, 2^{11221144224444} is an apocalyptic number.

11221144224444 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 11221144224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352888143408).

11221144224444 is an abundant number, since it is smaller than the sum of its proper divisors (25484632062372).

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

11221144224444 is a wasteful number, since it uses less digits than its factorization.

11221144224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9454 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

Adding to 11221144224444 its reverse (44442244112211), we get a palindrome (55663388336655).

The spelling of 11221144224444 in words is "eleven trillion, two hundred twenty-one billion, one hundred forty-four million, two hundred twenty-four thousand, four hundred forty-four".