11268482488224 has 384 divisors, whose sum is σ = 36649509765120. Its totient is φ = 2991790080000.

The previous prime is 11268482488217. The next prime is 11268482488229. The reversal of 11268482488224 is 42288428486211.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11268482488229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12045349 + ... + 12947099.

It is an arithmetic number, because the mean of its divisors is an integer number (95441431680).

Almost surely, 2^{11268482488224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11268482488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324754882560).

11268482488224 is an abundant number, since it is smaller than the sum of its proper divisors (25381027276896).

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

11268482488224 is a wasteful number, since it uses less digits than its factorization.

11268482488224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901844 (or 901836 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 60.

The spelling of 11268482488224 in words is "eleven trillion, two hundred sixty-eight billion, four hundred eighty-two million, four hundred eighty-eight thousand, two hundred twenty-four".