4812348800 has 288 divisors, whose sum is σ = 14144764320. Its totient is φ = 1612369920.

The previous prime is 4812348781. The next prime is 4812348803. The reversal of 4812348800 is 88432184.

It is a super-2 number, since 2×4812348800² = 46317401945722880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812348803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7369274 + ... + 7369926.

It is an arithmetic number, because the mean of its divisors is an integer number (49113765).

Almost surely, 2^4812348800 is an apocalyptic number.

4812348800 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 4812348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072382160).

4812348800 is an abundant number, since it is smaller than the sum of its proper divisors (9332415520).

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

4812348800 is a wasteful number, since it uses less digits than its factorization.

4812348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 4812348800 is about 69371.0948450433. The cubic root of 4812348800 is about 1688.3106725859.

The spelling of 4812348800 in words is "four billion, eight hundred twelve million, three hundred forty-eight thousand, eight hundred".