11242304256 has 288 divisors, whose sum is σ = 33672038400. Its totient is φ = 3313336320.

The previous prime is 11242304207. The next prime is 11242304303. The reversal of 11242304256 is 65240324211.

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, 13117780 + ... + 13118636.

It is an arithmetic number, because the mean of its divisors is an integer number (116916800).

Almost surely, 2^11242304256 is an apocalyptic number.

11242304256 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 11242304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836019200).

11242304256 is an abundant number, since it is smaller than the sum of its proper divisors (22429734144).

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

11242304256 is a wasteful number, since it uses less digits than its factorization.

11242304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11242304256 its reverse (65240324211), we get a palindrome (76482628467).

The spelling of 11242304256 in words is "eleven billion, two hundred forty-two million, three hundred four thousand, two hundred fifty-six".