829954344801 has 16 divisors (see below), whose sum is σ = 1108533409920. Its totient is φ = 552339365760.

The previous prime is 829954344797. The next prime is 829954344847. The reversal of 829954344801 is 108443459928.

It is not a de Polignac number, because 829954344801 - 2² = 829954344797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829954344301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13426501 + ... + 13488173.

It is an arithmetic number, because the mean of its divisors is an integer number (69283338120).

Almost surely, 2^829954344801 is an apocalyptic number.

It is an amenable number.

829954344801 is a deficient number, since it is larger than the sum of its proper divisors (278579065119).

829954344801 is a wasteful number, since it uses less digits than its factorization.

829954344801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69416.

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 829954344801 in words is "eight hundred twenty-nine billion, nine hundred fifty-four million, three hundred forty-four thousand, eight hundred one".