16961749728 has 576 divisors, whose sum is σ = 60999547392. Its totient is φ = 3994583040.

The previous prime is 16961749723. The next prime is 16961749781. The reversal of 16961749728 is 82794716961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961749723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232352700 + ... + 232352772.

It is an arithmetic number, because the mean of its divisors is an integer number (105901992).

Almost surely, 2^16961749728 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 16961749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30499773696).

16961749728 is an abundant number, since it is smaller than the sum of its proper divisors (44037797664).

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

16961749728 is a wasteful number, since it uses less digits than its factorization.

16961749728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 156 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The spelling of 16961749728 in words is "sixteen billion, nine hundred sixty-one million, seven hundred forty-nine thousand, seven hundred twenty-eight".