12328208006688 has 480 divisors, whose sum is σ = 43214288882688. Its totient is φ = 3373564723200.

The previous prime is 12328208006567. The next prime is 12328208006729. The reversal of 12328208006688 is 88660080282321.

12328208006688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12328208006688² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54446028 + ... + 54671988.

Almost surely, 2^{12328208006688} is an apocalyptic number.

12328208006688 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 12328208006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607144441344).

12328208006688 is an abundant number, since it is smaller than the sum of its proper divisors (30886080876000).

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

12328208006688 is a wasteful number, since it uses less digits than its factorization.

12328208006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226118 (or 226101 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12328208006688 in words is "twelve trillion, three hundred twenty-eight billion, two hundred eight million, six thousand, six hundred eighty-eight".