128834909568 has 192 divisors, whose sum is σ = 375256037520. Its totient is φ = 42423091200.

The previous prime is 128834909543. The next prime is 128834909569. The reversal of 128834909568 is 865909438821.

128834909568 is a `hidden beast` number, since 1 + 2 + 8 + 83 + 490 + 9 + 5 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128834909569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117442396 + ... + 117443492.

Almost surely, 2^128834909568 is an apocalyptic number.

128834909568 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 128834909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187628018760).

128834909568 is an abundant number, since it is smaller than the sum of its proper divisors (246421127952).

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

128834909568 is a wasteful number, since it uses less digits than its factorization.

128834909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 128834909568 in words is "one hundred twenty-eight billion, eight hundred thirty-four million, nine hundred nine thousand, five hundred sixty-eight".