128599523669929 has 135 divisors (see below), whose sum is σ = 156260565226287. Its totient is φ = 105765166780416.

The previous prime is 128599523669917. The next prime is 128599523669977. The reversal of 128599523669929 is 929966325995821.

The square root of 128599523669929 is 11340173.

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

It can be written as a sum of positive squares in 13 ways, for example, as 82836301088025 + 45763222581904 = 9101445^2 + 6764852^2 .

It is not a de Polignac number, because 128599523669929 - 2⁷ = 128599523669801 is a prime.

It is a Duffinian number.

Its product of digits (10203667200) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (128599523669429) 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 134 ways as a sum of consecutive naturals, for example, 1325768285209 + ... + 1325768285305.

Almost surely, 2^{128599523669929} is an apocalyptic number.

128599523669929 is the 11340173-rd square number.

128599523669929 is the 5670087-th centered octagonal number.

It is an amenable number.

128599523669929 is a deficient number, since it is larger than the sum of its proper divisors (27661041556358).

128599523669929 is an frugal number, since it uses more digits than its factorization.

128599523669929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 150 counting only the distinct ones).

The product of its digits is 10203667200, while the sum is 85.

The spelling of 128599523669929 in words is "one hundred twenty-eight trillion, five hundred ninety-nine billion, five hundred twenty-three million, six hundred sixty-nine thousand, nine hundred twenty-nine".