12771413766144 has 416 divisors, whose sum is σ = 41307173683200. Its totient is φ = 3867231191040.

The previous prime is 12771413766121. The next prime is 12771413766179. The reversal of 12771413766144 is 44166731417721.

12771413766144 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 4 + 13 + 7 + 6 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2079015937 + ... + 2079022079.

Almost surely, 2^{12771413766144} 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 12771413766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653586841600).

12771413766144 is an abundant number, since it is smaller than the sum of its proper divisors (28535759917056).

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

12771413766144 is a wasteful number, since it uses less digits than its factorization.

12771413766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7868 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 12771413766144 in words is "twelve trillion, seven hundred seventy-one billion, four hundred thirteen million, seven hundred sixty-six thousand, one hundred forty-four".