16971561984 has 176 divisors, whose sum is σ = 49852998272. Its totient is φ = 5100060672.

The previous prime is 16971561953. The next prime is 16971561989. The reversal of 16971561984 is 48916517961.

It is a happy number.

16971561984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16971561989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1712307 + ... + 1722189.

It is an arithmetic number, because the mean of its divisors is an integer number (283255672).

Almost surely, 2^16971561984 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 16971561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24926499136).

16971561984 is an abundant number, since it is smaller than the sum of its proper divisors (32881436288).

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

16971561984 is a wasteful number, since it uses less digits than its factorization.

16971561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9944 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 16971561984 in words is "sixteen billion, nine hundred seventy-one million, five hundred sixty-one thousand, nine hundred eighty-four".