128996484768 has 768 divisors, whose sum is σ = 434759270400. Its totient is φ = 36992609280.

The previous prime is 128996484733. The next prime is 128996484781. The reversal of 128996484768 is 867484699821.

128996484768 is a `hidden beast` number, since 1 + 2 + 8 + 99 + 64 + 8 + 476 + 8 = 666.

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

Its product of digits (334430208) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 128996484696 and 128996484705.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205574571 + ... + 1205574677.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^128996484768 is an apocalyptic number.

128996484768 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 128996484768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217379635200).

128996484768 is an abundant number, since it is smaller than the sum of its proper divisors (305762785632).

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

128996484768 is a wasteful number, since it uses less digits than its factorization.

128996484768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 128996484768 in words is "one hundred twenty-eight billion, nine hundred ninety-six million, four hundred eighty-four thousand, seven hundred sixty-eight".