128318171688 has 96 divisors (see below), whose sum is σ = 397476668160. Its totient is φ = 36634515840.

The previous prime is 128318171671. The next prime is 128318171693. The reversal of 128318171688 is 886171813821.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 572878 + ... + 764738.

It is an arithmetic number, because the mean of its divisors is an integer number (4140381960).

Almost surely, 2^128318171688 is an apocalyptic number.

128318171688 is a gapful number since it is divisible by the number (18) 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 128318171688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198738334080).

128318171688 is an abundant number, since it is smaller than the sum of its proper divisors (269158496472).

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

128318171688 is a wasteful number, since it uses less digits than its factorization.

128318171688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193207 (or 193200 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The spelling of 128318171688 in words is "one hundred twenty-eight billion, three hundred eighteen million, one hundred seventy-one thousand, six hundred eighty-eight".