11248338799824 has 480 divisors, whose sum is σ = 36765102882816. Its totient is φ = 2894428753920.

The previous prime is 11248338799813. The next prime is 11248338799877. The reversal of 11248338799824 is 42899783384211.

11248338799824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 327951444 + ... + 327985740.

Almost surely, 2^{11248338799824} is an apocalyptic number.

11248338799824 is a gapful number since it is divisible by the number (14) 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 11248338799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18382551441408).

11248338799824 is an abundant number, since it is smaller than the sum of its proper divisors (25516764082992).

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

11248338799824 is a wasteful number, since it uses less digits than its factorization.

11248338799824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34443 (or 34400 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 11248338799824 in words is "eleven trillion, two hundred forty-eight billion, three hundred thirty-eight million, seven hundred ninety-nine thousand, eight hundred twenty-four".