16822185984 has 234 divisors, whose sum is σ = 51650643980. Its totient is φ = 5274206208.

The previous prime is 16822185907. The next prime is 16822186013. The reversal of 16822185984 is 48958122861.

16822185984 is a `hidden beast` number, since 16 + 8 + 22 + 18 + 598 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16822185984.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10652907 + ... + 10654485.

Almost surely, 2^16822185984 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 16822185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825321990).

16822185984 is an abundant number, since it is smaller than the sum of its proper divisors (34828457996).

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

16822185984 is a wasteful number, since it uses less digits than its factorization.

16822185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1601 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 16822185984 in words is "sixteen billion, eight hundred twenty-two million, one hundred eighty-five thousand, nine hundred eighty-four".