12326351615648 has 192 divisors, whose sum is σ = 29277884160000. Its totient is φ = 4990321695744.

The previous prime is 12326351615647. The next prime is 12326351615663. The reversal of 12326351615648 is 84651615362321.

It is a super-3 number, since 3×12326351615648³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12326351615648.

It is not an unprimeable number, because it can be changed into a prime (12326351615647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3637163138 + ... + 3637166526.

It is an arithmetic number, because the mean of its divisors is an integer number (152488980000).

Almost surely, 2^{12326351615648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12326351615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638942080000).

12326351615648 is an abundant number, since it is smaller than the sum of its proper divisors (16951532544352).

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

12326351615648 is a wasteful number, since it uses less digits than its factorization.

12326351615648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5619 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

Adding to 12326351615648 its reverse (84651615362321), we get a palindrome (96977966977969).

The spelling of 12326351615648 in words is "twelve trillion, three hundred twenty-six billion, three hundred fifty-one million, six hundred fifteen thousand, six hundred forty-eight".