128842917654528 has 936 divisors, whose sum is σ = 475425489217536. Its totient is φ = 33243291648000.

The previous prime is 128842917654481. The next prime is 128842917654541. The reversal of 128842917654528 is 825456719248821.

128842917654528 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 2 + 9 + 1 + 76 + 545 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 3000302625 + ... + 3000345567.

It is an arithmetic number, because the mean of its divisors is an integer number (507933214976).

Almost surely, 2^{128842917654528} is an apocalyptic number.

128842917654528 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 128842917654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237712744608768).

128842917654528 is an abundant number, since it is smaller than the sum of its proper divisors (346582571563008).

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

128842917654528 is a wasteful number, since it uses less digits than its factorization.

128842917654528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43149 (or 43117 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 128842917654528 in words is "one hundred twenty-eight trillion, eight hundred forty-two billion, nine hundred seventeen million, six hundred fifty-four thousand, five hundred twenty-eight".