4868333568000 has 816 divisors, whose sum is σ = 20061362358336. Its totient is φ = 1112643993600.

The previous prime is 4868333567969. The next prime is 4868333568001. The reversal of 4868333568000 is 8653338684.

4868333568000 is a `hidden beast` number, since 48 + 6 + 8 + 3 + 33 + 568 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4868333568000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4868333568001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516091284 + ... + 516100716.

Almost surely, 2^{4868333568000} is an apocalyptic number.

4868333568000 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 4868333568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030681179168).

4868333568000 is an abundant number, since it is smaller than the sum of its proper divisors (15193028790336).

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

4868333568000 is an frugal number, since it uses more digits than its factorization.

4868333568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4868333568000 in words is "four trillion, eight hundred sixty-eight billion, three hundred thirty-three million, five hundred sixty-eight thousand".