16406966381568 has 704 divisors, whose sum is σ = 55301117921280. Its totient is φ = 4213815902208.

The previous prime is 16406966381473. The next prime is 16406966381569. The reversal of 16406966381568 is 86518366960461.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (16406966381569) 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 63 ways as a sum of consecutive naturals, for example, 8685529168 + ... + 8685531056.

It is an arithmetic number, because the mean of its divisors is an integer number (78552724320).

Almost surely, 2^{16406966381568} 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 16406966381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650558960640).

16406966381568 is an abundant number, since it is smaller than the sum of its proper divisors (38894151539712).

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

16406966381568 is a wasteful number, since it uses less digits than its factorization.

16406966381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 16406966381568 in words is "sixteen trillion, four hundred six billion, nine hundred sixty-six million, three hundred eighty-one thousand, five hundred sixty-eight".