4801918464 has 600 divisors, whose sum is σ = 17780190120. Its totient is φ = 1281982464.

The previous prime is 4801918453. The next prime is 4801918477. The reversal of 4801918464 is 4648191084.

4801918464 is a `hidden beast` number, since 480 + 1 + 91 + 84 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34546107 + ... + 34546245.

Almost surely, 2^4801918464 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 4801918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890095060).

4801918464 is an abundant number, since it is smaller than the sum of its proper divisors (12978271656).

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

4801918464 is a wasteful number, since it uses less digits than its factorization.

4801918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

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

The square root of 4801918464 is about 69295.8762409424. The cubic root of 4801918464 is about 1687.0900361145.

The spelling of 4801918464 in words is "four billion, eight hundred one million, nine hundred eighteen thousand, four hundred sixty-four".