128668119714816 has 704 divisors, whose sum is σ = 391185528053760. Its totient is φ = 37243035648000.

The previous prime is 128668119714803. The next prime is 128668119714821. The reversal of 128668119714816 is 618417911866821.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47113920171 + ... + 47113922901.

It is an arithmetic number, because the mean of its divisors is an integer number (555661261440).

Almost surely, 2^{128668119714816} is an apocalyptic number.

128668119714816 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 128668119714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592764026880).

128668119714816 is an abundant number, since it is smaller than the sum of its proper divisors (262517408338944).

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

128668119714816 is a wasteful number, since it uses less digits than its factorization.

128668119714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3274 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 69.

The spelling of 128668119714816 in words is "one hundred twenty-eight trillion, six hundred sixty-eight billion, one hundred nineteen million, seven hundred fourteen thousand, eight hundred sixteen".