4808014848000 has 3360 divisors, whose sum is σ = 22636771185600. Its totient is φ = 1014438297600.

The previous prime is 4808014847921. The next prime is 4808014848047. The reversal of 4808014848000 is 8484108084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4808014848000 is a `hidden beast` number, since 4 + 80 + 80 + 14 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×4808014848000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 369847295994 + ... + 369847296006.

Almost surely, 2^{4808014848000} is an apocalyptic number.

4808014848000 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 4808014848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318385592800).

4808014848000 is an abundant number, since it is smaller than the sum of its proper divisors (17828756337600).

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

4808014848000 is an frugal number, since it uses more digits than its factorization.

4808014848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 4808014848000 in words is "four trillion, eight hundred eight billion, fourteen million, eight hundred forty-eight thousand".