128914748209 has 27 divisors (see below), whose sum is σ = 141952796769. Its totient is φ = 117020598240.

The previous prime is 128914748161. The next prime is 128914748239. The reversal of 128914748209 is 902847419821.

The square root of 128914748209 is 359047.

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 49544082225 + 79370665984 = 222585^2 + 281728^2 .

It is not a de Polignac number, because 128914748209 - 2¹¹ = 128914746161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128914748209.

It is not an unprimeable number, because it can be changed into a prime (128914748239) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331400187 + ... + 331400575.

Almost surely, 2^128914748209 is an apocalyptic number.

128914748209 is the 359047-th square number.

128914748209 is the 179524-th centered octagonal number.

It is an amenable number.

128914748209 is a deficient number, since it is larger than the sum of its proper divisors (13038048560).

128914748209 is an frugal number, since it uses more digits than its factorization.

128914748209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 128914748209 in words is "one hundred twenty-eight billion, nine hundred fourteen million, seven hundred forty-eight thousand, two hundred nine".