128442682368 has 1980 divisors, whose sum is σ = 558062588952. Its totient is φ = 28983951360.

The previous prime is 128442682367. The next prime is 128442682369. The reversal of 128442682368 is 863286244821.

128442682368 is a `hidden beast` number, since 1 + 2 + 84 + 426 + 82 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (128442682367) and next prime (128442682369).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (128442682367) 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 179 ways as a sum of consecutive naturals, for example, 7555451896 + ... + 7555451912.

Almost surely, 2^128442682368 is an apocalyptic number.

128442682368 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 128442682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279031294476).

128442682368 is an abundant number, since it is smaller than the sum of its proper divisors (429619906584).

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

128442682368 is a wasteful number, since it uses less digits than its factorization.

128442682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 128442682368 in words is "one hundred twenty-eight billion, four hundred forty-two million, six hundred eighty-two thousand, three hundred sixty-eight".