21344455444312 has 64 divisors (see below), whose sum is σ = 53734293446400. Its totient is φ = 7676327629440.

The previous prime is 21344455444307. The next prime is 21344455444331.

21344455444312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332687762 + ... + 1332703777.

It is an arithmetic number, because the mean of its divisors is an integer number (839598335100).

Almost surely, 2^{21344455444312} is an apocalyptic number.

21344455444312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21344455444312 is an abundant number, since it is smaller than the sum of its proper divisors (32389838002088).

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

21344455444312 is a wasteful number, since it uses less digits than its factorization.

21344455444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665391576 (or 2665391572 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 2134445 and 5444312, that added together give a palindrome (7578757).

The spelling of 21344455444312 in words is "twenty-one trillion, three hundred forty-four billion, four hundred fifty-five million, four hundred forty-four thousand, three hundred twelve".