11112384000 has 320 divisors, whose sum is σ = 38158129152. Its totient is φ = 2866176000.

The previous prime is 11112383981. The next prime is 11112384001. The reversal of 11112384000 is 48321111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112384001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951067 + ... + 5952933.

Almost surely, 2^11112384000 is an apocalyptic number.

11112384000 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 11112384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079064576).

11112384000 is an abundant number, since it is smaller than the sum of its proper divisors (27045745152).

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

11112384000 is an equidigital number, since it uses as much as digits as its factorization.

11112384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 11112384000 in words is "eleven billion, one hundred twelve million, three hundred eighty-four thousand".