16113984000 has 640 divisors, whose sum is σ = 57911293440. Its totient is φ = 3964928000.

The previous prime is 16113983993. The next prime is 16113984017. The reversal of 16113984000 is 48931161.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181055956 + ... + 181056044.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 2^16113984000 is an apocalyptic number.

16113984000 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 16113984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28955646720).

16113984000 is an abundant number, since it is smaller than the sum of its proper divisors (41797309440).

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

16113984000 is an equidigital number, since it uses as much as digits as its factorization.

16113984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 16113984000 in words is "sixteen billion, one hundred thirteen million, nine hundred eighty-four thousand".