829145944449 has 6 divisors (see below), whose sum is σ = 1197655253106. Its totient is φ = 552763962960.

The previous prime is 829145944423. The next prime is 829145944457. The reversal of 829145944449 is 944449541928.

829145944449 is a `hidden beast` number, since 8 + 2 + 9 + 145 + 9 + 44 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 696381905025 + 132764039424 = 834495^2 + 364368^2 .

It is not a de Polignac number, because 829145944449 - 2²⁴ = 829129167233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829145944409) 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, 46063663572 + ... + 46063663589.

It is an arithmetic number, because the mean of its divisors is an integer number (199609208851).

Almost surely, 2^829145944449 is an apocalyptic number.

It is an amenable number.

829145944449 is a deficient number, since it is larger than the sum of its proper divisors (368509308657).

829145944449 is a wasteful number, since it uses less digits than its factorization.

829145944449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92127327167 (or 92127327164 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 829145944449 in words is "eight hundred twenty-nine billion, one hundred forty-five million, nine hundred forty-four thousand, four hundred forty-nine".