188825544128 has 84 divisors (see below), whose sum is σ = 408663236520. Its totient is φ = 86522582016.

The previous prime is 188825544121. The next prime is 188825544139. The reversal of 188825544128 is 821445528881.

188825544128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×188825544128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188825544121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1440626 + ... + 1566222.

It is an arithmetic number, because the mean of its divisors is an integer number (4865038530).

Almost surely, 2^188825544128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188825544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204331618260).

188825544128 is an abundant number, since it is smaller than the sum of its proper divisors (219837692392).

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

188825544128 is a wasteful number, since it uses less digits than its factorization.

188825544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125774 (or 125751 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 56.

The spelling of 188825544128 in words is "one hundred eighty-eight billion, eight hundred twenty-five million, five hundred forty-four thousand, one hundred twenty-eight".