188140320000 has 630 divisors, whose sum is σ = 704037231282. Its totient is φ = 50139648000.

The previous prime is 188140319987. The next prime is 188140320007. The reversal of 188140320000 is 23041881.

It can be written as a sum of positive squares in 5 ways, for example, as 62348092416 + 125792227584 = 249696^2 + 354672^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188140320007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 116639194 + ... + 116640806.

Almost surely, 2^188140320000 is an apocalyptic number.

188140320000 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 188140320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352018615641).

188140320000 is an abundant number, since it is smaller than the sum of its proper divisors (515896911282).

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

188140320000 is an frugal number, since it uses more digits than its factorization.

188140320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 188140320000 its reverse (23041881), we get a palindrome (188163361881).

The spelling of 188140320000 in words is "one hundred eighty-eight billion, one hundred forty million, three hundred twenty thousand".