11114413800 has 192 divisors, whose sum is σ = 39852449280. Its totient is φ = 2509751040.

The previous prime is 11114413789. The next prime is 11114413819. The reversal of 11114413800 is 831441111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332659 + ... + 364541.

It is an arithmetic number, because the mean of its divisors is an integer number (207564840).

Almost surely, 2^11114413800 is an apocalyptic number.

11114413800 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 11114413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926224640).

11114413800 is an abundant number, since it is smaller than the sum of its proper divisors (28738035480).

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

11114413800 is a wasteful number, since it uses less digits than its factorization.

11114413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31992 (or 31983 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11114413800 its reverse (831441111), we get a palindrome (11945854911).

The spelling of 11114413800 in words is "eleven billion, one hundred fourteen million, four hundred thirteen thousand, eight hundred".