829948686849901 has 2 divisors, whose sum is σ = 829948686849902. Its totient is φ = 829948686849900.

The previous prime is 829948686849769. The next prime is 829948686849949. The reversal of 829948686849901 is 109948686849928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 767262355649001 + 62686331200900 = 27699501^2 + 7917470^2 .

It is a cyclic number.

It is not a de Polignac number, because 829948686849901 - 2⁹ = 829948686849389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829948686849797 and 829948686849806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829948686849001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414974343424950 + 414974343424951.

It is an arithmetic number, because the mean of its divisors is an integer number (414974343424951).

Almost surely, 2^{829948686849901} is an apocalyptic number.

It is an amenable number.

829948686849901 is a deficient number, since it is larger than the sum of its proper divisors (1).

829948686849901 is an equidigital number, since it uses as much as digits as its factorization.

829948686849901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30958682112, while the sum is 91.

The spelling of 829948686849901 in words is "eight hundred twenty-nine trillion, nine hundred forty-eight billion, six hundred eighty-six million, eight hundred forty-nine thousand, nine hundred one".