9829466499204 has 243 divisors, whose sum is σ = 27763710581061. Its totient is φ = 2930030642880.

The previous prime is 9829466499199. The next prime is 9829466499211. The reversal of 9829466499204 is 4029946649289.

The square root of 9829466499204 is 3135198.

It is a perfect power (a square), and thus also a powerful number.

9829466499204 is a `hidden beast` number, since 98 + 2 + 9 + 46 + 6 + 499 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1311707508804 + 8517758990400 = 1145298^2 + 2918520^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13863845202 + ... + 13863845910.

Almost surely, 2^{9829466499204} is an apocalyptic number.

9829466499204 is the 3135198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9829466499204

9829466499204 is an abundant number, since it is smaller than the sum of its proper divisors (17934244081857).

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

9829466499204 is a wasteful number, since it uses less digits than its factorization.

9829466499204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 9829466499204 in words is "nine trillion, eight hundred twenty-nine billion, four hundred sixty-six million, four hundred ninety-nine thousand, two hundred four".