12675624181344 has 240 divisors, whose sum is σ = 38877933257856. Its totient is φ = 4046754816000.

The previous prime is 12675624181271. The next prime is 12675624181349. The reversal of 12675624181344 is 44318142657621.

12675624181344 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 624 + 1 + 8 + 1 + 3 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12675624181349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6980994 + ... + 8607294.

Almost surely, 2^{12675624181344} 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 12675624181344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438966628928).

12675624181344 is an abundant number, since it is smaller than the sum of its proper divisors (26202309076512).

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

12675624181344 is a wasteful number, since it uses less digits than its factorization.

12675624181344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626451 (or 1626434 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12675624181344 in words is "twelve trillion, six hundred seventy-five billion, six hundred twenty-four million, one hundred eighty-one thousand, three hundred forty-four".