41850112329 has 81 divisors (see below), whose sum is σ = 66253056597. Its totient is φ = 25452154368.

The previous prime is 41850112289. The next prime is 41850112331. The reversal of 41850112329 is 92321105814.

The square root of 41850112329 is 204573.

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

41850112329 is a `hidden beast` number, since 4 + 1 + 8 + 501 + 123 + 29 = 666.

41850112329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6468502329 + 35381610000 = 80427^2 + 188100^2 .

It is not a de Polignac number, because 41850112329 - 2³³ = 33260177737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41850112293 and 41850112302.

It is not an unprimeable number, because it can be changed into a prime (41850112349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 431444409 + ... + 431444505.

Almost surely, 2^41850112329 is an apocalyptic number.

41850112329 is the 204573-rd square number.

41850112329 is the 102287-th centered octagonal number.

It is an amenable number.

41850112329 is a deficient number, since it is larger than the sum of its proper divisors (24402944268).

41850112329 is an equidigital number, since it uses as much as digits as its factorization.

41850112329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 41850112329 by its sum of digits (36), we get a square (1506604043844 = 1227438²).

The spelling of 41850112329 in words is "forty-one billion, eight hundred fifty million, one hundred twelve thousand, three hundred twenty-nine".