4682334612000 has 768 divisors, whose sum is σ = 16047779844096. Its totient is φ = 1192181760000.

The previous prime is 4682334611993. The next prime is 4682334612023. The reversal of 4682334612000 is 2164332864.

It is a self number, because there is not a number n which added to its sum of digits gives 4682334612000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13264403824 + ... + 13264404176.

It is an arithmetic number, because the mean of its divisors is an integer number (20895546672).

Almost surely, 2^{4682334612000} is an apocalyptic number.

4682334612000 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 4682334612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023889922048).

4682334612000 is an abundant number, since it is smaller than the sum of its proper divisors (11365445232096).

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

4682334612000 is a wasteful number, since it uses less digits than its factorization.

4682334612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 4682334612000 its reverse (2164332864), we get a palindrome (4684498944864).

The spelling of 4682334612000 in words is "four trillion, six hundred eighty-two billion, three hundred thirty-four million, six hundred twelve thousand".