9799148160 has 768 divisors, whose sum is σ = 39525408000. Its totient is φ = 2218917888.

The previous prime is 9799148159. The next prime is 9799148237. The reversal of 9799148160 is 618419979.

9799148160 is a `hidden beast` number, since 9 + 79 + 91 + 481 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9799148097 and 9799148106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42790926 + ... + 42791154.

It is an arithmetic number, because the mean of its divisors is an integer number (51465375).

Almost surely, 2^9799148160 is an apocalyptic number.

9799148160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9799148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762704000).

9799148160 is an abundant number, since it is smaller than the sum of its proper divisors (29726259840).

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

9799148160 is a wasteful number, since it uses less digits than its factorization.

9799148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 9799148160 is about 98990.6468309001. The cubic root of 9799148160 is about 2139.9129553788.

The spelling of 9799148160 in words is "nine billion, seven hundred ninety-nine million, one hundred forty-eight thousand, one hundred sixty".