128084536321 has 81 divisors (see below), whose sum is σ = 161930591433. Its totient is φ = 101010591360.

The previous prime is 128084536273. The next prime is 128084536357. The reversal of 128084536321 is 123635480821.

The square root of 128084536321 is 357889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33823255921 + 94261280400 = 183911^2 + 307020^2 .

It is not a de Polignac number, because 128084536321 - 2¹⁵ = 128084503553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128084531321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2978710126 + ... + 2978710168.

Almost surely, 2^128084536321 is an apocalyptic number.

128084536321 is the 357889-th square number.

128084536321 is the 178945-th centered octagonal number.

It is an amenable number.

128084536321 is a deficient number, since it is larger than the sum of its proper divisors (33846055112).

128084536321 is an frugal number, since it uses more digits than its factorization.

128084536321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 128084536321 in words is "one hundred twenty-eight billion, eighty-four million, five hundred thirty-six thousand, three hundred twenty-one".