14213104312242 has 192 divisors, whose sum is σ = 32744563568640. Its totient is φ = 4101992928000.

The previous prime is 14213104312237. The next prime is 14213104312247. The reversal of 14213104312242 is 24221340131241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14213104312237) and next prime (14213104312247).

It is not an unprimeable number, because it can be changed into a prime (14213104312247) 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, 6803782734 + ... + 6803784822.

It is an arithmetic number, because the mean of its divisors is an integer number (170544601920).

Almost surely, 2^{14213104312242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213104312242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372281784320).

14213104312242 is an abundant number, since it is smaller than the sum of its proper divisors (18531459256398).

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

14213104312242 is a wasteful number, since it uses less digits than its factorization.

14213104312242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14213104312242 its reverse (24221340131241), we get a palindrome (38434444443483).

The spelling of 14213104312242 in words is "fourteen trillion, two hundred thirteen billion, one hundred four million, three hundred twelve thousand, two hundred forty-two".