128436406936289 has 32 divisors (see below), whose sum is σ = 133556338944000. Its totient is φ = 123418996646400.

The previous prime is 128436406936247. The next prime is 128436406936291. The reversal of 128436406936289 is 982639604634821.

It is a de Polignac number, because none of the positive numbers 2^k-128436406936289 is a prime.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128436406956289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3925421672 + ... + 3925454390.

It is an arithmetic number, because the mean of its divisors is an integer number (4173635592000).

Almost surely, 2^{128436406936289} is an apocalyptic number.

It is an amenable number.

128436406936289 is a deficient number, since it is larger than the sum of its proper divisors (5119932007711).

128436406936289 is a wasteful number, since it uses less digits than its factorization.

128436406936289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35729.

The product of its (nonzero) digits is 644972544, while the sum is 71.

The spelling of 128436406936289 in words is "one hundred twenty-eight trillion, four hundred thirty-six billion, four hundred six million, nine hundred thirty-six thousand, two hundred eighty-nine".