12668901258816 has 252 divisors, whose sum is σ = 40267668957516. Its totient is φ = 3805084631040.

The previous prime is 12668901258737. The next prime is 12668901258869. The reversal of 12668901258816 is 61885210986621.

12668901258816 is a `hidden beast` number, since 1 + 26 + 6 + 8 + 9 + 0 + 12 + 588 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5817280905216 + 6851620353600 = 2411904^2 + 2617560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7071340 + ... + 8679956.

It is an arithmetic number, because the mean of its divisors is an integer number (159792337133).

Almost surely, 2^{12668901258816} is an apocalyptic number.

12668901258816 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 12668901258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133834478758).

12668901258816 is an abundant number, since it is smaller than the sum of its proper divisors (27598767698700).

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

12668901258816 is a wasteful number, since it uses less digits than its factorization.

12668901258816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608770 (or 1608746 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 12668901258816 in words is "twelve trillion, six hundred sixty-eight billion, nine hundred one million, two hundred fifty-eight thousand, eight hundred sixteen".