82449431001 has 18 divisors (see below), whose sum is σ = 138537480042. Its totient is φ = 47113960320.

The previous prime is 82449430991. The next prime is 82449431017. The reversal of 82449431001 is 10013494428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66339729225 + 16109701776 = 257565^2 + 126924^2 .

It is not a de Polignac number, because 82449431001 - 2⁵ = 82449430969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82449431081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93479640 + ... + 93480521.

It is an arithmetic number, because the mean of its divisors is an integer number (7696526669).

Almost surely, 2^82449431001 is an apocalyptic number.

It is an amenable number.

82449431001 is a deficient number, since it is larger than the sum of its proper divisors (56088049041).

82449431001 is a wasteful number, since it uses less digits than its factorization.

82449431001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186960181 (or 186960171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82449431001 in words is "eighty-two billion, four hundred forty-nine million, four hundred thirty-one thousand, one".