4893317052288 has 768 divisors, whose sum is σ = 16546569580800. Its totient is φ = 1272897110016.

The previous prime is 4893317052287. The next prime is 4893317052289. The reversal of 4893317052288 is 8822507133984.

It is an interprime number because it is at equal distance from previous prime (4893317052287) and next prime (4893317052289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4893317052287) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1097892556 + ... + 1097897012.

It is an arithmetic number, because the mean of its divisors is an integer number (21545012475).

Almost surely, 2^{4893317052288} is an apocalyptic number.

4893317052288 is a gapful number since it is divisible by the number (48) 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 4893317052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273284790400).

4893317052288 is an abundant number, since it is smaller than the sum of its proper divisors (11653252528512).

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

4893317052288 is a wasteful number, since it uses less digits than its factorization.

4893317052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 4893317052288 in words is "four trillion, eight hundred ninety-three billion, three hundred seventeen million, fifty-two thousand, two hundred eighty-eight".