188889128064 has 1280 divisors, whose sum is σ = 748932307200. Its totient is φ = 45864714240.

The previous prime is 188889128047. The next prime is 188889128069. The reversal of 188889128064 is 460821988881.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 188889127992 and 188889128010.

It is not an unprimeable number, because it can be changed into a prime (188889128069) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 734977024 + ... + 734977280.

It is an arithmetic number, because the mean of its divisors is an integer number (585103365).

Almost surely, 2^188889128064 is an apocalyptic number.

188889128064 is a gapful number since it is divisible by the number (14) 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 188889128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374466153600).

188889128064 is an abundant number, since it is smaller than the sum of its proper divisors (560043179136).

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

188889128064 is a wasteful number, since it uses less digits than its factorization.

188889128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 188889128064 in words is "one hundred eighty-eight billion, eight hundred eighty-nine million, one hundred twenty-eight thousand, sixty-four".