128929804016 has 80 divisors (see below), whose sum is σ = 278319686400. Its totient is φ = 57456967680.

The previous prime is 128929804001. The next prime is 128929804121. The reversal of 128929804016 is 610408929821.

It is a super-3 number, since 3×128929804016³ (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2872886 + ... + 2917418.

It is an arithmetic number, because the mean of its divisors is an integer number (3478996080).

Almost surely, 2^128929804016 is an apocalyptic number.

128929804016 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 128929804016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139159843200).

128929804016 is an abundant number, since it is smaller than the sum of its proper divisors (149389882384).

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

128929804016 is a wasteful number, since it uses less digits than its factorization.

128929804016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45034 (or 45028 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 128929804016 in words is "one hundred twenty-eight billion, nine hundred twenty-nine million, eight hundred four thousand, sixteen".