4816578816 has 288 divisors, whose sum is σ = 16492627200. Its totient is φ = 1375045632.

The previous prime is 4816578773. The next prime is 4816578827. The reversal of 4816578816 is 6188756184.

It is a happy number.

4816578816 is a `hidden beast` number, since 48 + 16 + 578 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3918490 + ... + 3919718.

Almost surely, 2^4816578816 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 4816578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246313600).

4816578816 is an abundant number, since it is smaller than the sum of its proper divisors (11676048384).

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

4816578816 is an frugal number, since it uses more digits than its factorization.

4816578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1241 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 4816578816 is about 69401.5764662446. The cubic root of 4816578816 is about 1688.8051982331.

The spelling of 4816578816 in words is "four billion, eight hundred sixteen million, five hundred seventy-eight thousand, eight hundred sixteen".