4808516160 has 448 divisors, whose sum is σ = 18581778432. Its totient is φ = 1029709824.

The previous prime is 4808516159. The next prime is 4808516173. The reversal of 4808516160 is 616158084.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4808516160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8191387 + ... + 8191973.

It is an arithmetic number, because the mean of its divisors is an integer number (41477184).

Almost surely, 2^4808516160 is an apocalyptic number.

4808516160 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 4808516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290889216).

4808516160 is an abundant number, since it is smaller than the sum of its proper divisors (13773262272).

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

4808516160 is a wasteful number, since it uses less digits than its factorization.

4808516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 4808516160 is about 69343.4651571437. The cubic root of 4808516160 is about 1687.8623533530.

The spelling of 4808516160 in words is "four billion, eight hundred eight million, five hundred sixteen thousand, one hundred sixty".