12356966016 has 288 divisors, whose sum is σ = 38599753920. Its totient is φ = 3934656000.

The previous prime is 12356966009. The next prime is 12356966051. The reversal of 12356966016 is 61066965321.

12356966016 is a `hidden beast` number, since 1 + 2 + 35 + 6 + 9 + 6 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16453641 + ... + 16454391.

Almost surely, 2^12356966016 is an apocalyptic number.

12356966016 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 12356966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19299876960).

12356966016 is an abundant number, since it is smaller than the sum of its proper divisors (26242787904).

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

12356966016 is an frugal number, since it uses more digits than its factorization.

12356966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12356966016 in words is "twelve billion, three hundred fifty-six million, nine hundred sixty-six thousand, sixteen".