11218190256 has 480 divisors, whose sum is σ = 40489789440. Its totient is φ = 2947726080.

The previous prime is 11218190213. The next prime is 11218190257. The reversal of 11218190256 is 65209181211.

11218190256 is a `hidden beast` number, since 1 + 1 + 218 + 190 + 256 = 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 11218190256.

It is not an unprimeable number, because it can be changed into a prime (11218190257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41395401 + ... + 41395671.

It is an arithmetic number, because the mean of its divisors is an integer number (84353728).

Almost surely, 2^11218190256 is an apocalyptic number.

11218190256 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 11218190256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244894720).

11218190256 is an abundant number, since it is smaller than the sum of its proper divisors (29271599184).

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

11218190256 is an equidigital number, since it uses as much as digits as its factorization.

11218190256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11218190256 in words is "eleven billion, two hundred eighteen million, one hundred ninety thousand, two hundred fifty-six".