829470980241 has 6 divisors (see below), whose sum is σ = 1198124749250. Its totient is φ = 552980653488.

The previous prime is 829470980189. The next prime is 829470980269. The reversal of 829470980241 is 142089074928.

829470980241 is a `hidden beast` number, since 82 + 9 + 470 + 98 + 0 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 829338062400 + 132917841 = 910680^2 + 11529^2 .

It is not a de Polignac number, because 829470980241 - 2⁷ = 829470980113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829470980281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46081721116 + ... + 46081721133.

Almost surely, 2^829470980241 is an apocalyptic number.

It is an amenable number.

829470980241 is a deficient number, since it is larger than the sum of its proper divisors (368653769009).

829470980241 is a wasteful number, since it uses less digits than its factorization.

829470980241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92163442255 (or 92163442252 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 829470980241 in words is "eight hundred twenty-nine billion, four hundred seventy million, nine hundred eighty thousand, two hundred forty-one".