4848088484800 has 336 divisors, whose sum is σ = 13074257693952. Its totient is φ = 1754778009600.

The previous prime is 4848088484783. The next prime is 4848088484801. The reversal of 4848088484800 is 84848808484.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848088484801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6668622037 + ... + 6668622763.

It is an arithmetic number, because the mean of its divisors is an integer number (38911481232).

Almost surely, 2^{4848088484800} is an apocalyptic number.

4848088484800 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 4848088484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537128846976).

4848088484800 is an abundant number, since it is smaller than the sum of its proper divisors (8226169209152).

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

4848088484800 is a wasteful number, since it uses less digits than its factorization.

4848088484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 64.

The spelling of 4848088484800 in words is "four trillion, eight hundred forty-eight billion, eighty-eight million, four hundred eighty-four thousand, eight hundred".