9826300204249 has 27 divisors (see below), whose sum is σ = 10420328570463. Its totient is φ = 9265350026592.

The previous prime is 9826300204229. The next prime is 9826300204367. The reversal of 9826300204249 is 9424020036289.

The square root of 9826300204249 is 3134693.

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

It can be written as a sum of positive squares in only one way, i.e., 5577886680025 + 4248413524224 = 2361755^2 + 2061168^2 .

It is not a de Polignac number, because 9826300204249 - 2⁷ = 9826300204121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9826300204229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5263148614 + ... + 5263150480.

Almost surely, 2^{9826300204249} is an apocalyptic number.

9826300204249 is the 3134693-rd square number.

9826300204249 is the 1567347-th centered octagonal number.

It is an amenable number.

9826300204249 is a deficient number, since it is larger than the sum of its proper divisors (594028366214).

9826300204249 is an frugal number, since it uses more digits than its factorization.

9826300204249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 9826300204249 by its sum of digits (49), we get a square (481488710008201 = 21942851²).

The spelling of 9826300204249 in words is "nine trillion, eight hundred twenty-six billion, three hundred million, two hundred four thousand, two hundred forty-nine".