16964541216 has 288 divisors, whose sum is σ = 55986577920. Its totient is φ = 4772855808.

The previous prime is 16964541211. The next prime is 16964541233. The reversal of 16964541216 is 61214546961.

16964541216 is a `hidden beast` number, since 1 + 6 + 96 + 4 + 541 + 2 + 16 = 666.

16964541216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (16964541211) 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 47 ways as a sum of consecutive naturals, for example, 66009760 + ... + 66010016.

It is an arithmetic number, because the mean of its divisors is an integer number (194397840).

Almost surely, 2^16964541216 is an apocalyptic number.

16964541216 is a gapful number since it is divisible by the number (16) 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 16964541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993288960).

16964541216 is an abundant number, since it is smaller than the sum of its proper divisors (39022036704).

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

16964541216 is a wasteful number, since it uses less digits than its factorization.

16964541216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 16964541216 in words is "sixteen billion, nine hundred sixty-four million, five hundred forty-one thousand, two hundred sixteen".