6543440443456 has 112 divisors (see below), whose sum is σ = 15041569916800. Its totient is φ = 2766418956288.

The previous prime is 6543440443451. The next prime is 6543440443471.

It is a happy number.

6543440443456 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6543440443456² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6543440443451) 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, 9442060 + ... + 10111348.

It is an arithmetic number, because the mean of its divisors is an integer number (134299731400).

Almost surely, 2^{6543440443456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6543440443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520784958400).

6543440443456 is an abundant number, since it is smaller than the sum of its proper divisors (8498129473344).

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

6543440443456 is a wasteful number, since it uses less digits than its factorization.

6543440443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669604 (or 669594 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 52.

It can be divided in two parts, 6543440 and 443456, that added together give a palindrome (6986896).

The spelling of 6543440443456 in words is "six trillion, five hundred forty-three billion, four hundred forty million, four hundred forty-three thousand, four hundred fifty-six".