6321112218304 has 224 divisors, whose sum is σ = 14160327458816. Its totient is φ = 2780682670080.

The previous prime is 6321112218301. The next prime is 6321112218359. The reversal of 6321112218304 is 4038122111236.

It is a self number, because there is not a number n which added to its sum of digits gives 6321112218304.

It is not an unprimeable number, because it can be changed into a prime (6321112218301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277145269 + ... + 277168075.

It is an arithmetic number, because the mean of its divisors is an integer number (63215747584).

Almost surely, 2^{6321112218304} is an apocalyptic number.

6321112218304 is a gapful number since it is divisible by the number (64) 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 6321112218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080163729408).

6321112218304 is an abundant number, since it is smaller than the sum of its proper divisors (7839215240512).

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

6321112218304 is a wasteful number, since it uses less digits than its factorization.

6321112218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23063 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 6321112218304 in words is "six trillion, three hundred twenty-one billion, one hundred twelve million, two hundred eighteen thousand, three hundred four".