21344111144312 has 64 divisors (see below), whose sum is σ = 44095235207040. Its totient is φ = 9604816144000.

The previous prime is 21344111144281. The next prime is 21344111144359.

21344111144312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89356223 + ... + 89594769.

It is an arithmetic number, because the mean of its divisors is an integer number (688988050110).

Almost surely, 2^{21344111144312} is an apocalyptic number.

21344111144312 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 21344111144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047617603520).

21344111144312 is an abundant number, since it is smaller than the sum of its proper divisors (22751124062728).

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

21344111144312 is a wasteful number, since it uses less digits than its factorization.

21344111144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248732 (or 248728 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 2134411 and 1144312, that added together give a palindrome (3278723).

The spelling of 21344111144312 in words is "twenty-one trillion, three hundred forty-four billion, one hundred eleven million, one hundred forty-four thousand, three hundred twelve".