11218816000 has 352 divisors, whose sum is σ = 33721459200. Its totient is φ = 3638476800.

The previous prime is 11218815977. The next prime is 11218816031. The reversal of 11218816000 is 61881211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11218816000.

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, 17023671 + ... + 17024329.

It is an arithmetic number, because the mean of its divisors is an integer number (95799600).

Almost surely, 2^11218816000 is an apocalyptic number.

11218816000 is a gapful number since it is divisible by the number (10) 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 11218816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16860729600).

11218816000 is an abundant number, since it is smaller than the sum of its proper divisors (22502643200).

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

11218816000 is an equidigital number, since it uses as much as digits as its factorization.

11218816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The spelling of 11218816000 in words is "eleven billion, two hundred eighteen million, eight hundred sixteen thousand".