11222292404448 has 240 divisors, whose sum is σ = 33238353456000. Its totient is φ = 3714276384000.

The previous prime is 11222292404441. The next prime is 11222292404461. The reversal of 11222292404448 is 84440429222211.

11222292404448 is a `hidden beast` number, since 1 + 12 + 2 + 229 + 2 + 404 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222292404441) 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 39 ways as a sum of consecutive naturals, for example, 1068886303 + ... + 1068896801.

It is an arithmetic number, because the mean of its divisors is an integer number (138493139400).

Almost surely, 2^{11222292404448} is an apocalyptic number.

11222292404448 is a gapful number since it is divisible by the number (18) 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 11222292404448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619176728000).

11222292404448 is an abundant number, since it is smaller than the sum of its proper divisors (22016061051552).

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

11222292404448 is a wasteful number, since it uses less digits than its factorization.

11222292404448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 11222292404448 in words is "eleven trillion, two hundred twenty-two billion, two hundred ninety-two million, four hundred four thousand, four hundred forty-eight".