188068608000 has 2304 divisors, whose sum is σ = 897823180800. Its totient is φ = 37955174400.

The previous prime is 188068607971. The next prime is 188068608043. The reversal of 188068608000 is 806860881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8176895989 + ... + 8176896011.

It is an arithmetic number, because the mean of its divisors is an integer number (389680200).

Almost surely, 2^188068608000 is an apocalyptic number.

188068608000 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 188068608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448911590400).

188068608000 is an abundant number, since it is smaller than the sum of its proper divisors (709754572800).

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

188068608000 is a wasteful number, since it uses less digits than its factorization.

188068608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 188068608000 in words is "one hundred eighty-eight billion, sixty-eight million, six hundred eight thousand".