188340940800 has 936 divisors, whose sum is σ = 725421826480. Its totient is φ = 48492380160.

The previous prime is 188340940747. The next prime is 188340940819. The reversal of 188340940800 is 8049043881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

188340940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 6494515186 + ... + 6494515214.

Almost surely, 2^188340940800 is an apocalyptic number.

188340940800 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 188340940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362710913240).

188340940800 is an abundant number, since it is smaller than the sum of its proper divisors (537080885680).

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

188340940800 is an frugal number, since it uses more digits than its factorization.

188340940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 188340940800 in words is "one hundred eighty-eight billion, three hundred forty million, nine hundred forty thousand, eight hundred".