829843428168801 has 24 divisors (see below), whose sum is σ = 1203187545661920. Its totient is φ = 551143414869696.

The previous prime is 829843428168709. The next prime is 829843428168959. The reversal of 829843428168801 is 108861824348928.

829843428168801 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 434 + 28 + 168 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 829843428168801 - 2⁷ = 829843428168673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829843428168801.

It is not an unprimeable number, because it can be changed into a prime (829843428168401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114800956 + ... + 121815213.

It is an arithmetic number, because the mean of its divisors is an integer number (50132814402580).

Almost surely, 2^{829843428168801} is an apocalyptic number.

It is an amenable number.

829843428168801 is a deficient number, since it is larger than the sum of its proper divisors (373344117493119).

829843428168801 is a wasteful number, since it uses less digits than its factorization.

829843428168801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236617645 (or 236617642 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 829843428168801 in words is "eight hundred twenty-nine trillion, eight hundred forty-three billion, four hundred twenty-eight million, one hundred sixty-eight thousand, eight hundred one".