12258743641344 has 144 divisors (see below), whose sum is σ = 37231026181440. Its totient is φ = 3975808665600.

The previous prime is 12258743641327. The next prime is 12258743641393. The reversal of 12258743641344 is 44314634785221.

12258743641344 is a `hidden beast` number, since 1 + 2 + 2 + 587 + 4 + 3 + 6 + 4 + 13 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12258743641344² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23711082 + ... + 24222569.

Almost surely, 2^{12258743641344} is an apocalyptic number.

It is an amenable number.

12258743641344 is an abundant number, since it is smaller than the sum of its proper divisors (24972282540096).

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

12258743641344 is an equidigital number, since it uses as much as digits as its factorization.

12258743641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47933713 (or 47933693 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 12258743641344 in words is "twelve trillion, two hundred fifty-eight billion, seven hundred forty-three million, six hundred forty-one thousand, three hundred forty-four".