829948686849928 has 16 divisors (see below), whose sum is σ = 1556155259519760. Its totient is φ = 414973950978000.

The previous prime is 829948686849901. The next prime is 829948686849949.

829948686849928 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39968938 + ... + 57073753.

It is an arithmetic number, because the mean of its divisors is an integer number (97259703719985).

Almost surely, 2^{829948686849928} is an apocalyptic number.

It is an amenable number.

829948686849928 is a deficient number, since it is larger than the sum of its proper divisors (726206572669832).

829948686849928 is a wasteful number, since it uses less digits than its factorization.

829948686849928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98111748 (or 98111744 counting only the distinct ones).

The product of its digits is 495338913792, while the sum is 100.

The spelling of 829948686849928 in words is "eight hundred twenty-nine trillion, nine hundred forty-eight billion, six hundred eighty-six million, eight hundred forty-nine thousand, nine hundred twenty-eight".