21544144144512 has 128 divisors (see below), whose sum is σ = 66101351572800. Its totient is φ = 6144497418240.

The previous prime is 21544144144499. The next prime is 21544144144513.

21544144144512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21544144144513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149940337 + ... + 150083952.

Almost surely, 2^{21544144144512} is an apocalyptic number.

21544144144512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21544144144512 is an abundant number, since it is smaller than the sum of its proper divisors (44557207428288).

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

21544144144512 is a wasteful number, since it uses less digits than its factorization.

21544144144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300024334 (or 300024322 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 2154414 and 4144512, that added together give a palindrome (6298926).

The spelling of 21544144144512 in words is "twenty-one trillion, five hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, five hundred twelve".