9984258049 has 16 divisors (see below), whose sum is σ = 10883980800. Its totient is φ = 9121559040.

The previous prime is 9984258043. The next prime is 9984258113. The reversal of 9984258049 is 9408524899.

It is a cyclic number.

It is not a de Polignac number, because 9984258049 - 2³ = 9984258041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9984257984 and 9984258002.

It is not an unprimeable number, because it can be changed into a prime (9984258041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102712 + ... + 174694.

It is an arithmetic number, because the mean of its divisors is an integer number (680248800).

Almost surely, 2^9984258049 is an apocalyptic number.

It is an amenable number.

9984258049 is a deficient number, since it is larger than the sum of its proper divisors (899722751).

9984258049 is a wasteful number, since it uses less digits than its factorization.

9984258049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72240.

The product of its (nonzero) digits is 7464960, while the sum is 58.

The square root of 9984258049 is about 99921.2592444671. The cubic root of 9984258049 is about 2153.3035961258.

The spelling of 9984258049 in words is "nine billion, nine hundred eighty-four million, two hundred fifty-eight thousand, forty-nine".