96333882129 has 27 divisors (see below), whose sum is σ = 140019154587. Its totient is φ = 63823443264.

The previous prime is 96333882119. The next prime is 96333882173. The reversal of 96333882129 is 92128833369.

It is a happy number.

The square root of 96333882129 is 310377.

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

96333882129 is a `hidden beast` number, since 96 + 3 + 338 + 8 + 212 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25977380625 + 70356501504 = 161175^2 + 265248^2 .

It is not a de Polignac number, because 96333882129 - 2⁵ = 96333882097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96333882119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 285857049 + ... + 285857385.

Almost surely, 2^96333882129 is an apocalyptic number.

96333882129 is the 310377-th square number.

96333882129 is the 155189-th centered octagonal number.

It is an amenable number.

96333882129 is a deficient number, since it is larger than the sum of its proper divisors (43685272458).

96333882129 is an frugal number, since it uses more digits than its factorization.

96333882129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 96333882129 in words is "ninety-six billion, three hundred thirty-three million, eight hundred eighty-two thousand, one hundred twenty-nine".