4854556800 has 336 divisors, whose sum is σ = 17988823530. Its totient is φ = 1293926400.

The previous prime is 4854556787. The next prime is 4854556841. The reversal of 4854556800 is 86554584.

4854556800 is a `hidden beast` number, since 4 + 85 + 4 + 5 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3326059584 + 1528497216 = 57672^2 + 39096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2331760 + ... + 2333840.

Almost surely, 2^4854556800 is an apocalyptic number.

4854556800 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 4854556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994411765).

4854556800 is an abundant number, since it is smaller than the sum of its proper divisors (13134266730).

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

4854556800 is an equidigital number, since it uses as much as digits as its factorization.

4854556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 4854556800 is about 69674.6496223698. The cubic root of 4854556800 is about 1693.2322395403.

The spelling of 4854556800 in words is "four billion, eight hundred fifty-four million, five hundred fifty-six thousand, eight hundred".