4848729116160 has 960 divisors, whose sum is σ = 16618009807872. Its totient is φ = 1205108736000.

The previous prime is 4848729116137. The next prime is 4848729116167. The reversal of 4848729116160 is 616119278484.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 4848729116160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848729116167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013199295 + ... + 37013199425.

Almost surely, 2^{4848729116160} is an apocalyptic number.

4848729116160 is a gapful number since it is divisible by the number (40) 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 4848729116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309004903936).

4848729116160 is an abundant number, since it is smaller than the sum of its proper divisors (11769280691712).

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

4848729116160 is a wasteful number, since it uses less digits than its factorization.

4848729116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 4848729116160 in words is "four trillion, eight hundred forty-eight billion, seven hundred twenty-nine million, one hundred sixteen thousand, one hundred sixty".