128684963979264 has 448 divisors, whose sum is σ = 435881830556160. Its totient is φ = 32793986334720.

The previous prime is 128684963979199. The next prime is 128684963979277. The reversal of 128684963979264 is 462979369486821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99653122 + ... + 100936190.

Almost surely, 2^{128684963979264} is an apocalyptic number.

128684963979264 is a gapful number since it is divisible by the number (14) 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 128684963979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217940915278080).

128684963979264 is an abundant number, since it is smaller than the sum of its proper divisors (307196866576896).

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

128684963979264 is a wasteful number, since it uses less digits than its factorization.

128684963979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283169 (or 1283145 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 84.

The spelling of 128684963979264 in words is "one hundred twenty-eight trillion, six hundred eighty-four billion, nine hundred sixty-three million, nine hundred seventy-nine thousand, two hundred sixty-four".