11223289218240 has 672 divisors, whose sum is σ = 42913966455360. Its totient is φ = 2669270630400.

The previous prime is 11223289218181. The next prime is 11223289218307. The reversal of 11223289218240 is 4281298232211.

11223289218240 is a `hidden beast` number, since 1 + 1 + 22 + 328 + 92 + 182 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767187246 + ... + 767201874.

It is an arithmetic number, because the mean of its divisors is an integer number (63860069130).

Almost surely, 2^{11223289218240} is an apocalyptic number.

11223289218240 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 11223289218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456983227680).

11223289218240 is an abundant number, since it is smaller than the sum of its proper divisors (31690677237120).

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

11223289218240 is a wasteful number, since it uses less digits than its factorization.

11223289218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15108 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11223289218240 in words is "eleven trillion, two hundred twenty-three billion, two hundred eighty-nine million, two hundred eighteen thousand, two hundred forty".