12328513486848 has 1200 divisors, whose sum is σ = 41124246942240. Its totient is φ = 3656946548736.

The previous prime is 12328513486823. The next prime is 12328513486873. The reversal of 12328513486848 is 84868431582321.

12328513486848 is a `hidden beast` number, since 1 + 2 + 3 + 28 + 51 + 3 + 486 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12328513486823) and next prime (12328513486873).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88694341563 + ... + 88694341701.

Almost surely, 2^{12328513486848} is an apocalyptic number.

12328513486848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12328513486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562123471120).

12328513486848 is an abundant number, since it is smaller than the sum of its proper divisors (28795733455392).

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

12328513486848 is an equidigital number, since it uses as much as digits as its factorization.

12328513486848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 307 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 12328513486848 in words is "twelve trillion, three hundred twenty-eight billion, five hundred thirteen million, four hundred eighty-six thousand, eight hundred forty-eight".