12609143406816 has 192 divisors, whose sum is σ = 38314959572736. Its totient is φ = 3588387430400.

The previous prime is 12609143406803. The next prime is 12609143406823. The reversal of 12609143406816 is 61860434190621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7514071 + ... + 9037673.

It is an arithmetic number, because the mean of its divisors is an integer number (199557081108).

Almost surely, 2^{12609143406816} is an apocalyptic number.

12609143406816 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 12609143406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157479786368).

12609143406816 is an abundant number, since it is smaller than the sum of its proper divisors (25705816165920).

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

12609143406816 is a wasteful number, since it uses less digits than its factorization.

12609143406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524105 (or 1524097 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 12609143406816 in words is "twelve trillion, six hundred nine billion, one hundred forty-three million, four hundred six thousand, eight hundred sixteen".