12328716619296 has 480 divisors, whose sum is σ = 45242744545152. Its totient is φ = 3199611248640.

The previous prime is 12328716619283. The next prime is 12328716619423. The reversal of 12328716619296 is 69291661782321.

12328716619296 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 8 + 7 + 1 + 6 + 619 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 246860440 + ... + 246910376.

Almost surely, 2^{12328716619296} is an apocalyptic number.

12328716619296 is a gapful number since it is divisible by the number (16) 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 12328716619296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621372272576).

12328716619296 is an abundant number, since it is smaller than the sum of its proper divisors (32914027925856).

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

12328716619296 is a wasteful number, since it uses less digits than its factorization.

12328716619296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51214 (or 51197 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 12328716619296 in words is "twelve trillion, three hundred twenty-eight billion, seven hundred sixteen million, six hundred nineteen thousand, two hundred ninety-six".