12883128565248 has 160 divisors (see below), whose sum is σ = 39792997728000. Its totient is φ = 4107664078848.

The previous prime is 12883128565247. The next prime is 12883128565261. The reversal of 12883128565248 is 84256582138821.

12883128565248 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 3 + 1 + 28 + 565 + 2 + 48 = 666.

12883128565248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883128565243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19941598 + ... + 20577501.

It is an arithmetic number, because the mean of its divisors is an integer number (248706235800).

Almost surely, 2^{12883128565248} is an apocalyptic number.

12883128565248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12883128565248 is an abundant number, since it is smaller than the sum of its proper divisors (26909869162752).

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

12883128565248 is an equidigital number, since it uses as much as digits as its factorization.

12883128565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519149 (or 40519127 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 12883128565248 in words is "twelve trillion, eight hundred eighty-three billion, one hundred twenty-eight million, five hundred sixty-five thousand, two hundred forty-eight".