11249305056 has 192 divisors, whose sum is σ = 35866333440. Its totient is φ = 3401925120.

The previous prime is 11249305021. The next prime is 11249305061. The reversal of 11249305056 is 65050394211.

11249305056 is a `hidden beast` number, since 112 + 4 + 9 + 30 + 505 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11249305056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490366 + ... + 6492098.

It is an arithmetic number, because the mean of its divisors is an integer number (186803820).

Almost surely, 2^11249305056 is an apocalyptic number.

11249305056 is a gapful number since it is divisible by the number (16) 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 11249305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933166720).

11249305056 is an abundant number, since it is smaller than the sum of its proper divisors (24617028384).

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

11249305056 is a wasteful number, since it uses less digits than its factorization.

11249305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 11249305056 its reverse (65050394211), we get a palindrome (76299699267).

The spelling of 11249305056 in words is "eleven billion, two hundred forty-nine million, three hundred five thousand, fifty-six".