21344222244312 has 192 divisors, whose sum is σ = 63699952361760. Its totient is φ = 6402590208000.

The previous prime is 21344222244229. The next prime is 21344222244391.

21344222244312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 422 + 224 + 4 + 3 + 1 + 2 = 666.

21344222244312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431372118 + ... + 431421594.

Almost surely, 2^{21344222244312} is an apocalyptic number.

21344222244312 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 21344222244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31849976180880).

21344222244312 is an abundant number, since it is smaller than the sum of its proper divisors (42355730117448).

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

21344222244312 is a wasteful number, since it uses less digits than its factorization.

21344222244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54994 (or 54987 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2134422 and 2244312, that added together give a palindrome (4378734).

The spelling of 21344222244312 in words is "twenty-one trillion, three hundred forty-four billion, two hundred twenty-two million, two hundred forty-four thousand, three hundred twelve".