21450044964168 has 256 divisors, whose sum is σ = 64972036915200. Its totient is φ = 6618523348800.

The previous prime is 21450044964067. The next prime is 21450044964181. The reversal of 21450044964168 is 86146944005412.

21450044964168 is a `hidden beast` number, since 2 + 1 + 4 + 50 + 0 + 4 + 496 + 41 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11614903 + ... + 13334393.

It is an arithmetic number, because the mean of its divisors is an integer number (253797019200).

Almost surely, 2^{21450044964168} 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 21450044964168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32486018457600).

21450044964168 is an abundant number, since it is smaller than the sum of its proper divisors (43521991951032).

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

21450044964168 is a wasteful number, since it uses less digits than its factorization.

21450044964168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719572 (or 1719550 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 21450044964168 in words is "twenty-one trillion, four hundred fifty billion, forty-four million, nine hundred sixty-four thousand, one hundred sixty-eight".