11250344448 has 640 divisors, whose sum is σ = 41640192000. Its totient is φ = 2926264320.

The previous prime is 11250344393. The next prime is 11250344471. The reversal of 11250344448 is 84444305211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53319063 + ... + 53319273.

It is an arithmetic number, because the mean of its divisors is an integer number (65062800).

Almost surely, 2^11250344448 is an apocalyptic number.

11250344448 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 11250344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820096000).

11250344448 is an abundant number, since it is smaller than the sum of its proper divisors (30389847552).

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

11250344448 is a wasteful number, since it uses less digits than its factorization.

11250344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 11250344448 its reverse (84444305211), we get a palindrome (95694649659).

The spelling of 11250344448 in words is "eleven billion, two hundred fifty million, three hundred forty-four thousand, four hundred forty-eight".