128640306164841 has 21 divisors (see below), whose sum is σ = 192872687725479. Its totient is φ = 85759999954416.

The previous prime is 128640306164801. The next prime is 128640306164899. The reversal of 128640306164841 is 148461603046821.

The square root of 128640306164841 is 11341971.

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

128640306164841 is a `hidden beast` number, since 1 + 2 + 86 + 40 + 30 + 6 + 16 + 484 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128433375794025 + 206930370816 = 11332845^2 + 454896^2 .

It is not a de Polignac number, because 128640306164841 - 2¹⁷ = 128640306033769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128640306164801) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 306023181 + ... + 306443253.

Almost surely, 2^{128640306164841} is an apocalyptic number.

128640306164841 is the 11341971-st square number.

128640306164841 is the 5670986-th centered octagonal number.

It is an amenable number.

128640306164841 is a deficient number, since it is larger than the sum of its proper divisors (64232381560638).

128640306164841 is an frugal number, since it uses more digits than its factorization.

128640306164841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840164 (or 420076 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 128640306164841 in words is "one hundred twenty-eight trillion, six hundred forty billion, three hundred six million, one hundred sixty-four thousand, eight hundred forty-one".