21449105305056 has 1728 divisors, whose sum is σ = 82093270633920. Its totient is φ = 5212445736960.

The previous prime is 21449105305051. The next prime is 21449105305093. The reversal of 21449105305056 is 65050350194412.

It is a happy number.

21449105305056 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 9 + 10 + 530 + 50 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21449105305051) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10740662650 + ... + 10740664646.

It is an arithmetic number, because the mean of its divisors is an integer number (47507679765).

Almost surely, 2^{21449105305056} is an apocalyptic number.

21449105305056 is a gapful number since it is divisible by the number (26) 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 21449105305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41046635316960).

21449105305056 is an abundant number, since it is smaller than the sum of its proper divisors (60644165328864).

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

21449105305056 is a wasteful number, since it uses less digits than its factorization.

21449105305056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 21449105305056 its reverse (65050350194412), we get a palindrome (86499455499468).

The spelling of 21449105305056 in words is "twenty-one trillion, four hundred forty-nine billion, one hundred five million, three hundred five thousand, fifty-six".