21810449343168 has 168 divisors, whose sum is σ = 63891634295216. Its totient is φ = 7111456819200.

The previous prime is 21810449343167. The next prime is 21810449343173. The reversal of 21810449343168 is 86134394401812.

21810449343168 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 449 + 34 + 3 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (21810449343167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4644855 + ... + 8074377.

Almost surely, 2^{21810449343168} 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 21810449343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31945817147608).

21810449343168 is an abundant number, since it is smaller than the sum of its proper divisors (42081184952048).

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

21810449343168 is a wasteful number, since it uses less digits than its factorization.

21810449343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429783 (or 3429770 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 21810449343168 in words is "twenty-one trillion, eight hundred ten billion, four hundred forty-nine million, three hundred forty-three thousand, one hundred sixty-eight".