829148010801 has 32 divisors (see below), whose sum is σ = 1225928618880. Its totient is φ = 494225971200.

The previous prime is 829148010781. The next prime is 829148010809. The reversal of 829148010801 is 108010841928.

It is not a de Polignac number, because 829148010801 - 2⁶ = 829148010737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829148010809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32334081 + ... + 32359713.

It is an arithmetic number, because the mean of its divisors is an integer number (38310269340).

Almost surely, 2^829148010801 is an apocalyptic number.

It is an amenable number.

829148010801 is a deficient number, since it is larger than the sum of its proper divisors (396780608079).

829148010801 is a wasteful number, since it uses less digits than its factorization.

829148010801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41777.

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 829148010801 in words is "eight hundred twenty-nine billion, one hundred forty-eight million, ten thousand, eight hundred one".