128966808096 has 480 divisors, whose sum is σ = 459622259712. Its totient is φ = 34689669120.

The previous prime is 128966808083. The next prime is 128966808163. The reversal of 128966808096 is 690808669821.

It is a super-2 number, since 2×128966808096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20808070 + ... + 20814266.

Almost surely, 2^128966808096 is an apocalyptic number.

128966808096 is a gapful number since it is divisible by the number (16) 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 128966808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229811129856).

128966808096 is an abundant number, since it is smaller than the sum of its proper divisors (330655451616).

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

128966808096 is a wasteful number, since it uses less digits than its factorization.

128966808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 128966808096 in words is "one hundred twenty-eight billion, nine hundred sixty-six million, eight hundred eight thousand, ninety-six".