9954248832 has 192 divisors, whose sum is σ = 31332000960. Its totient is φ = 3008378880.

The previous prime is 9954248809. The next prime is 9954248881. The reversal of 9954248832 is 2388424599.

9954248832 is a `hidden beast` number, since 9 + 95 + 42 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6170458 + ... + 6172070.

It is an arithmetic number, because the mean of its divisors is an integer number (163187505).

Almost surely, 2^9954248832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666000480).

9954248832 is an abundant number, since it is smaller than the sum of its proper divisors (21377752128).

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

9954248832 is a wasteful number, since it uses less digits than its factorization.

9954248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2116 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 9954248832 is about 99770.9819135805. The cubic root of 9954248832 is about 2151.1440698125.

The spelling of 9954248832 in words is "nine billion, nine hundred fifty-four million, two hundred forty-eight thousand, eight hundred thirty-two".