21144522544112 has 160 divisors (see below), whose sum is σ = 45793449031680. Its totient is φ = 9377539522560.

The previous prime is 21144522544099. The next prime is 21144522544129.

21144522544112 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 31 ways as a sum of consecutive naturals, for example, 678715928 + ... + 678747080.

It is an arithmetic number, because the mean of its divisors is an integer number (286209056448).

Almost surely, 2^{21144522544112} is an apocalyptic number.

21144522544112 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 21144522544112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896724515840).

21144522544112 is an abundant number, since it is smaller than the sum of its proper divisors (24648926487568).

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

21144522544112 is a wasteful number, since it uses less digits than its factorization.

21144522544112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31831 (or 31825 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 2114452 and 2544112, that added together give a palindrome (4658564).

The spelling of 21144522544112 in words is "twenty-one trillion, one hundred forty-four billion, five hundred twenty-two million, five hundred forty-four thousand, one hundred twelve".