128086188384 has 384 divisors, whose sum is σ = 446255308800. Its totient is φ = 31160954880.

The previous prime is 128086188371. The next prime is 128086188389. The reversal of 128086188384 is 483881680821.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128086188389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12494749 + ... + 12504995.

It is an arithmetic number, because the mean of its divisors is an integer number (1162123200).

Almost surely, 2^128086188384 is an apocalyptic number.

128086188384 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 128086188384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223127654400).

128086188384 is an abundant number, since it is smaller than the sum of its proper divisors (318169120416).

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

128086188384 is a wasteful number, since it uses less digits than its factorization.

128086188384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The spelling of 128086188384 in words is "one hundred twenty-eight billion, eighty-six million, one hundred eighty-eight thousand, three hundred eighty-four".