4868850816000 has 704 divisors, whose sum is σ = 18138466344960. Its totient is φ = 1288020787200.

The previous prime is 4868850815993. The next prime is 4868850816031. The reversal of 4868850816000 is 6180588684.

4868850816000 is a `hidden beast` number, since 48 + 6 + 88 + 508 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 438906454 + ... + 438917546.

Almost surely, 2^{4868850816000} is an apocalyptic number.

4868850816000 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 4868850816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069233172480).

4868850816000 is an abundant number, since it is smaller than the sum of its proper divisors (13269615528960).

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

4868850816000 is a wasteful number, since it uses less digits than its factorization.

4868850816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4868850816000 in words is "four trillion, eight hundred sixty-eight billion, eight hundred fifty million, eight hundred sixteen thousand".