11382984000 has 448 divisors, whose sum is σ = 42159936000. Its totient is φ = 3006720000.

The previous prime is 11382983977. The next prime is 11382984007. The reversal of 11382984000 is 48928311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382984007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32615826 + ... + 32616174.

It is an arithmetic number, because the mean of its divisors is an integer number (94107000).

Almost surely, 2^11382984000 is an apocalyptic number.

11382984000 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 11382984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968000).

11382984000 is an abundant number, since it is smaller than the sum of its proper divisors (30776952000).

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

11382984000 is a wasteful number, since it uses less digits than its factorization.

11382984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11382984000 in words is "eleven billion, three hundred eighty-two million, nine hundred eighty-four thousand".