11209345056 has 864 divisors, whose sum is σ = 43333774848. Its totient is φ = 2821754880.

The previous prime is 11209345039. The next prime is 11209345057. The reversal of 11209345056 is 65054390211.

11209345056 is a `hidden beast` number, since 112 + 0 + 9 + 34 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 11209345056.

It is not an unprimeable number, because it can be changed into a prime (11209345057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153552636 + ... + 153552708.

It is an arithmetic number, because the mean of its divisors is an integer number (50154832).

Almost surely, 2^11209345056 is an apocalyptic number.

11209345056 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 11209345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21666887424).

11209345056 is an abundant number, since it is smaller than the sum of its proper divisors (32124429792).

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

11209345056 is a wasteful number, since it uses less digits than its factorization.

11209345056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

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

The spelling of 11209345056 in words is "eleven billion, two hundred nine million, three hundred forty-five thousand, fifty-six".