188509667329 has 9 divisors (see below), whose sum is σ = 189102438633. Its totient is φ = 187918752432.

The previous prime is 188509667263. The next prime is 188509667347. The reversal of 188509667329 is 923766905881.

The square root of 188509667329 is 434177.

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 7755444225 + 180754223104 = 88065^2 + 425152^2 .

It is not a de Polignac number, because 188509667329 - 2¹³ = 188509659137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188509667729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220995667 + ... + 220996519.

Almost surely, 2^188509667329 is an apocalyptic number.

188509667329 is the 434177-th square number.

188509667329 is the 217089-th centered octagonal number.

It is an amenable number.

188509667329 is a deficient number, since it is larger than the sum of its proper divisors (592771304).

188509667329 is an frugal number, since it uses more digits than its factorization.

188509667329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 188509667329 by its sum of digits (64), we get a square (12064618709056 = 3473416²).

The spelling of 188509667329 in words is "one hundred eighty-eight billion, five hundred nine million, six hundred sixty-seven thousand, three hundred twenty-nine".