14242245000 has 320 divisors, whose sum is σ = 46317173760. Its totient is φ = 3645600000.

The previous prime is 14242244999. The next prime is 14242245001. The reversal of 14242245000 is 54224241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14242244999) and next prime (14242245001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14242245001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45794845 + ... + 45795155.

It is an arithmetic number, because the mean of its divisors is an integer number (144741168).

Almost surely, 2^14242245000 is an apocalyptic number.

14242245000 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 14242245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23158586880).

14242245000 is an abundant number, since it is smaller than the sum of its proper divisors (32074928760).

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

14242245000 is a wasteful number, since it uses less digits than its factorization.

14242245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14242245000 its reverse (54224241), we get a palindrome (14296469241).

The spelling of 14242245000 in words is "fourteen billion, two hundred forty-two million, two hundred forty-five thousand".