21344255244312 has 1536 divisors, whose sum is σ = 79610849740800. Its totient is φ = 4618625679360.

The previous prime is 21344255244311. The next prime is 21344255244359.

21344255244312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344255244311) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22538811823 + ... + 22538812769.

It is an arithmetic number, because the mean of its divisors is an integer number (51829980300).

Almost surely, 2^{21344255244312} is an apocalyptic number.

21344255244312 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 21344255244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39805424870400).

21344255244312 is an abundant number, since it is smaller than the sum of its proper divisors (58266594496488).

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

21344255244312 is a wasteful number, since it uses less digits than its factorization.

21344255244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1202 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 2134425 and 5244312, that added together give a palindrome (7378737).

The spelling of 21344255244312 in words is "twenty-one trillion, three hundred forty-four billion, two hundred fifty-five million, two hundred forty-four thousand, three hundred twelve".