128043640715769 has 15 divisors (see below), whose sum is σ = 191275220362303. Its totient is φ = 85362359250024.

The previous prime is 128043640715717. The next prime is 128043640715827. The reversal of 128043640715769 is 967517046340821.

The square root of 128043640715769 is 11315637.

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

128043640715769 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 436 + 40 + 7 + 157 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124161211845225 + 3882428870544 = 11142765^2 + 1970388^2 .

It is not a de Polignac number, because 128043640715769 - 2⁴¹ = 125844617460217 is a prime.

It is a super-2 number, since 2×128043640715769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128043640715069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 101212087 + ... + 102469379.

It is a 1-persistent number, because it is pandigital, but 2⋅128043640715769 = 256087281431538 is not.

Almost surely, 2^{128043640715769} is an apocalyptic number.

128043640715769 is the 11315637-th square number.

128043640715769 is the 5657819-th centered octagonal number.

It is an amenable number.

128043640715769 is a deficient number, since it is larger than the sum of its proper divisors (63231579646534).

128043640715769 is an frugal number, since it uses more digits than its factorization.

128043640715769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514598 (or 1257296 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 128043640715769 in words is "one hundred twenty-eight trillion, forty-three billion, six hundred forty million, seven hundred fifteen thousand, seven hundred sixty-nine".