4865847012000 has 1536 divisors, whose sum is σ = 19908351590400. Its totient is φ = 1146120192000.

The previous prime is 4865847011959. The next prime is 4865847012001. The reversal of 4865847012000 is 2107485684.

4865847012000 is a `hidden beast` number, since 4 + 8 + 6 + 58 + 470 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4865847012001) 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 255 ways as a sum of consecutive naturals, for example, 5170931530 + ... + 5170932470.

It is an arithmetic number, because the mean of its divisors is an integer number (12961166400).

Almost surely, 2^{4865847012000} is an apocalyptic number.

4865847012000 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 4865847012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954175795200).

4865847012000 is an abundant number, since it is smaller than the sum of its proper divisors (15042504578400).

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

4865847012000 is a wasteful number, since it uses less digits than its factorization.

4865847012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4865847012000 in words is "four trillion, eight hundred sixty-five billion, eight hundred forty-seven million, twelve thousand".