12666266341344 has 288 divisors, whose sum is σ = 45824158598400. Its totient is φ = 3289939027200.

The previous prime is 12666266341331. The next prime is 12666266341357. The reversal of 12666266341344 is 44314366266621.

It is an interprime number because it is at equal distance from previous prime (12666266341331) and next prime (12666266341357).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741642 + ... + 6914889.

It is an arithmetic number, because the mean of its divisors is an integer number (159111661800).

Almost surely, 2^{12666266341344} is an apocalyptic number.

12666266341344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12666266341344 is an abundant number, since it is smaller than the sum of its proper divisors (33157892257056).

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

12666266341344 is a wasteful number, since it uses less digits than its factorization.

12666266341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656579 (or 11656554 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 12666266341344 in words is "twelve trillion, six hundred sixty-six billion, two hundred sixty-six million, three hundred forty-one thousand, three hundred forty-four".