12493818260640 has 144 divisors (see below), whose sum is σ = 45143105186088. Its totient is φ = 3135703400448.

The previous prime is 12493818260621. The next prime is 12493818260653. The reversal of 12493818260640 is 4606281839421.

12493818260640 is a `hidden beast` number, since 1 + 24 + 9 + 3 + 8 + 1 + 8 + 2 + 606 + 4 + 0 = 666.

12493818260640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9005544853776 + 3488273406864 = 3000924^2 + 1867692^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255159717 + ... + 255208676.

Almost surely, 2^{12493818260640} is an apocalyptic number.

12493818260640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12493818260640 is an abundant number, since it is smaller than the sum of its proper divisors (32649286925448).

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

12493818260640 is a wasteful number, since it uses less digits than its factorization.

12493818260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510368431 (or 510368420 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12493818260640 in words is "twelve trillion, four hundred ninety-three billion, eight hundred eighteen million, two hundred sixty thousand, six hundred forty".