4813248988800 has 1296 divisors, whose sum is σ = 20488086432450. Its totient is φ = 1072808755200.

The previous prime is 4813248988789. The next prime is 4813248988829. The reversal of 4813248988800 is 88898423184.

4813248988800 is a `hidden beast` number, since 4 + 81 + 324 + 89 + 88 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5894554176 + 4807354434624 = 76776^2 + 2192568^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2372226186 + ... + 2372228214.

Almost surely, 2^{4813248988800} is an apocalyptic number.

4813248988800 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 4813248988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244043216225).

4813248988800 is an abundant number, since it is smaller than the sum of its proper divisors (15674837443650).

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

4813248988800 is a wasteful number, since it uses less digits than its factorization.

4813248988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 4813248988800 in words is "four trillion, eight hundred thirteen billion, two hundred forty-eight million, nine hundred eighty-eight thousand, eight hundred".