4806813816 has 192 divisors, whose sum is σ = 15208689600. Its totient is φ = 1343232000.

The previous prime is 4806813811. The next prime is 4806813821. The reversal of 4806813816 is 6183186084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4806813811) and next prime (4806813821).

It is a super-3 number, since 3×4806813816³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806813811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4529926 + ... + 4530986.

It is an arithmetic number, because the mean of its divisors is an integer number (79211925).

Almost surely, 2^4806813816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806813816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604344800).

4806813816 is an abundant number, since it is smaller than the sum of its proper divisors (10401875784).

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

4806813816 is a wasteful number, since it uses less digits than its factorization.

4806813816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4806813816 is about 69331.1893450560. The cubic root of 4806813816 is about 1687.6631469590.

The spelling of 4806813816 in words is "four billion, eight hundred six million, eight hundred thirteen thousand, eight hundred sixteen".