12317323291648 has 352 divisors, whose sum is σ = 26663557265408. Its totient is φ = 5675758387200.

The previous prime is 12317323291627. The next prime is 12317323291649. The reversal of 12317323291648 is 84619232371321.

12317323291648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12317323291595 and 12317323291604.

It is not an unprimeable number, because it can be changed into a prime (12317323291649) 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, 15187821163 + ... + 15187821973.

Almost surely, 2^{12317323291648} 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 12317323291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331778632704).

12317323291648 is an abundant number, since it is smaller than the sum of its proper divisors (14346233973760).

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

12317323291648 is a wasteful number, since it uses less digits than its factorization.

12317323291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 12317323291648 in words is "twelve trillion, three hundred seventeen billion, three hundred twenty-three million, two hundred ninety-one thousand, six hundred forty-eight".