188481216000 has 1920 divisors, whose sum is σ = 842216094720. Its totient is φ = 36495360000.

The previous prime is 188481215957. The next prime is 188481216073. The reversal of 188481216000 is 612184881.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 188481216000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3089855970 + ... + 3089856030.

It is an arithmetic number, because the mean of its divisors is an integer number (438654216).

Almost surely, 2^188481216000 is an apocalyptic number.

188481216000 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 188481216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421108047360).

188481216000 is an abundant number, since it is smaller than the sum of its proper divisors (653734878720).

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

188481216000 is a wasteful number, since it uses less digits than its factorization.

188481216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 188481216000 in words is "one hundred eighty-eight billion, four hundred eighty-one million, two hundred sixteen thousand".