16442034221664 has 192 divisors, whose sum is σ = 48743760199680. Its totient is φ = 5390997534720.

The previous prime is 16442034221653. The next prime is 16442034221741. The reversal of 16442034221664 is 46612243024461.

16442034221664 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 203 + 422 + 16 + 6 + 4 = 666.

It is a super-3 number, since 3×16442034221664³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26252449 + ... + 26871455.

It is an arithmetic number, because the mean of its divisors is an integer number (253873751040).

Almost surely, 2^{16442034221664} 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 16442034221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371880099840).

16442034221664 is an abundant number, since it is smaller than the sum of its proper divisors (32301725978016).

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

16442034221664 is a wasteful number, since it uses less digits than its factorization.

16442034221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619530 (or 619516 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 16442034221664 in words is "sixteen trillion, four hundred forty-two billion, thirty-four million, two hundred twenty-one thousand, six hundred sixty-four".