11442442798224 has 105 divisors (see below), whose sum is σ = 33240455087529. Its totient is φ = 3814025823360.

The previous prime is 11442442798207. The next prime is 11442442798243. The reversal of 11442442798224 is 42289724424411.

The square root of 11442442798224 is 3382668.

It is a perfect power (a square), and thus also a powerful number.

11442442798224 is a `hidden beast` number, since 1 + 14 + 42 + 442 + 79 + 82 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6239664276624 + 5202778521600 = 2497932^2 + 2280960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 365312484 + ... + 365343804.

Almost surely, 2^{11442442798224} is an apocalyptic number.

11442442798224 is the 3382668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442442798224

11442442798224 is an abundant number, since it is smaller than the sum of its proper divisors (21798012289305).

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

11442442798224 is an frugal number, since it uses more digits than its factorization.

11442442798224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62668 (or 31326 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 11442442798224 in words is "eleven trillion, four hundred forty-two billion, four hundred forty-two million, seven hundred ninety-eight thousand, two hundred twenty-four".