21324433442312 has 256 divisors, whose sum is σ = 55574636544000. Its totient is φ = 7400439936000.

The previous prime is 21324433442293. The next prime is 21324433442321.

21324433442312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86515487 + ... + 86761617.

It is an arithmetic number, because the mean of its divisors is an integer number (217088424000).

Almost surely, 2^{21324433442312} is an apocalyptic number.

21324433442312 is a gapful number since it is divisible by the number (22) 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 21324433442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27787318272000).

21324433442312 is an abundant number, since it is smaller than the sum of its proper divisors (34250203101688).

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

21324433442312 is a wasteful number, since it uses less digits than its factorization.

21324433442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246548 (or 246544 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2132443 and 3442312, that added together give a palindrome (5574755).

The spelling of 21324433442312 in words is "twenty-one trillion, three hundred twenty-four billion, four hundred thirty-three million, four hundred forty-two thousand, three hundred twelve".