12314454410500 has 288 divisors, whose sum is σ = 31145802105600. Its totient is φ = 4238498880000.

The previous prime is 12314454410497. The next prime is 12314454410501. The reversal of 12314454410500 is 501445441321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12314454410501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1481701345 + ... + 1481709655.

It is an arithmetic number, because the mean of its divisors is an integer number (108145146200).

Almost surely, 2^{12314454410500} is an apocalyptic number.

12314454410500 is a gapful number since it is divisible by the number (10) 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 12314454410500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572901052800).

12314454410500 is an abundant number, since it is smaller than the sum of its proper divisors (18831347695100).

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

12314454410500 is a wasteful number, since it uses less digits than its factorization.

12314454410500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 12314454410500 its reverse (501445441321), we get a palindrome (12815899851821).

The spelling of 12314454410500 in words is "twelve trillion, three hundred fourteen billion, four hundred fifty-four million, four hundred ten thousand, five hundred".