11224454400 has 162 divisors, whose sum is σ = 40130163710. Its totient is φ = 2993172480.

The previous prime is 11224454387. The next prime is 11224454419. The reversal of 11224454400 is 445442211.

11224454400 is a `hidden beast` number, since 1 + 12 + 244 + 5 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2757510144 + 8466944256 = 52512^2 + 92016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39835 + ... + 155034.

Almost surely, 2^11224454400 is an apocalyptic number.

11224454400 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 11224454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20065081855).

11224454400 is an abundant number, since it is smaller than the sum of its proper divisors (28905709310).

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

11224454400 is a wasteful number, since it uses less digits than its factorization.

11224454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194901 (or 194879 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 11224454400 its reverse (445442211), we get a palindrome (11669896611).

The spelling of 11224454400 in words is "eleven billion, two hundred twenty-four million, four hundred fifty-four thousand, four hundred".