16961882112 has 384 divisors, whose sum is σ = 58239417600. Its totient is φ = 4837294080.

The previous prime is 16961882111. The next prime is 16961882117. The reversal of 16961882112 is 21128816961.

It is a happy number.

16961882112 is a `hidden beast` number, since 1 + 6 + 9 + 618 + 8 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (16961882111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31352562 + ... + 31353102.

It is an arithmetic number, because the mean of its divisors is an integer number (151665150).

Almost surely, 2^16961882112 is an apocalyptic number.

16961882112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16961882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29119708800).

16961882112 is an abundant number, since it is smaller than the sum of its proper divisors (41277535488).

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

16961882112 is an frugal number, since it uses more digits than its factorization.

16961882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 553 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 16961882112 in words is "sixteen billion, nine hundred sixty-one million, eight hundred eighty-two thousand, one hundred twelve".