12323635709616 has 1200 divisors, whose sum is σ = 47097029659680. Its totient is φ = 3072577536000.

The previous prime is 12323635709569. The next prime is 12323635709629. The reversal of 12323635709616 is 61690753632321.

12323635709616 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 6 + 3 + 570 + 9 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3666655776 + ... + 3666659136.

Almost surely, 2^{12323635709616} is an apocalyptic number.

12323635709616 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 12323635709616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548514829840).

12323635709616 is an abundant number, since it is smaller than the sum of its proper divisors (34773393950064).

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

12323635709616 is a wasteful number, since it uses less digits than its factorization.

12323635709616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 12323635709616 in words is "twelve trillion, three hundred twenty-three billion, six hundred thirty-five million, seven hundred nine thousand, six hundred sixteen".