21466089058344 has 256 divisors, whose sum is σ = 64270092902400. Its totient is φ = 5841612767232.

The previous prime is 21466089058279. The next prime is 21466089058369. The reversal of 21466089058344 is 44385098066412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3854565192 + ... + 3854570760.

It is an arithmetic number, because the mean of its divisors is an integer number (251055050400).

Almost surely, 2^{21466089058344} is an apocalyptic number.

21466089058344 is a gapful number since it is divisible by the number (24) 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 21466089058344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32135046451200).

21466089058344 is an abundant number, since it is smaller than the sum of its proper divisors (42804003844056).

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

21466089058344 is a wasteful number, since it uses less digits than its factorization.

21466089058344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 21466089058344 in words is "twenty-one trillion, four hundred sixty-six billion, eighty-nine million, fifty-eight thousand, three hundred forty-four".