12970046169168 has 480 divisors, whose sum is σ = 40022724381696. Its totient is φ = 3602919936000.

The previous prime is 12970046169149. The next prime is 12970046169181. The reversal of 12970046169168 is 86196164007921.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 581840103 + ... + 581862393.

Almost surely, 2^{12970046169168} 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 12970046169168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011362190848).

12970046169168 is an abundant number, since it is smaller than the sum of its proper divisors (27052678212528).

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

12970046169168 is a wasteful number, since it uses less digits than its factorization.

12970046169168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22478 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 12970046169168 in words is "twelve trillion, nine hundred seventy billion, forty-six million, one hundred sixty-nine thousand, one hundred sixty-eight".