829065983136 has 96 divisors (see below), whose sum is σ = 2291135616000. Its totient is φ = 261776551680.

The previous prime is 829065983129. The next prime is 829065983171. The reversal of 829065983136 is 631389560928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 829065983136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16754271 + ... + 16803681.

It is an arithmetic number, because the mean of its divisors is an integer number (23865996000).

Almost surely, 2^829065983136 is an apocalyptic number.

It is an amenable number.

829065983136 is an abundant number, since it is smaller than the sum of its proper divisors (1462069632864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829065983136 is a wasteful number, since it uses less digits than its factorization.

829065983136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58642 (or 58634 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 829065983136 in words is "eight hundred twenty-nine billion, sixty-five million, nine hundred eighty-three thousand, one hundred thirty-six".