16822181888 has 42 divisors (see below), whose sum is σ = 33665803509. Its totient is φ = 8405221376.

The previous prime is 16822181863. The next prime is 16822181891. The reversal of 16822181888 is 88818122861.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 14739902464 + 2082279424 = 121408^2 + 45632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=91712.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11738420 + ... + 11739852.

Almost surely, 2^16822181888 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 16822181888

16822181888 is an abundant number, since it is smaller than the sum of its proper divisors (16843621621).

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

16822181888 is an frugal number, since it uses more digits than its factorization.

16822181888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1435 counting only the distinct ones).

The product of its digits is 786432, while the sum is 53.

The spelling of 16822181888 in words is "sixteen billion, eight hundred twenty-two million, one hundred eighty-one thousand, eight hundred eighty-eight".