128317394304 has 576 divisors, whose sum is σ = 428038687440. Its totient is φ = 36569088000.

The previous prime is 128317394299. The next prime is 128317394347. The reversal of 128317394304 is 403493713821.

128317394304 is a `hidden beast` number, since 1 + 28 + 317 + 3 + 9 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 128317394304.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 499289344 + ... + 499289600.

Almost surely, 2^128317394304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128317394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214019343720).

128317394304 is an abundant number, since it is smaller than the sum of its proper divisors (299721293136).

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

128317394304 is a wasteful number, since it uses less digits than its factorization.

128317394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 128317394304 in words is "one hundred twenty-eight billion, three hundred seventeen million, three hundred ninety-four thousand, three hundred four".