14145310102000 has 480 divisors, whose sum is σ = 43526729825280. Its totient is φ = 4396526400000.

The previous prime is 14145310101959. The next prime is 14145310102003. The reversal of 14145310102000 is 20101354141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145310102003) 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, 386983725 + ... + 387020275.

It is an arithmetic number, because the mean of its divisors is an integer number (90680687136).

Almost surely, 2^{14145310102000} is an apocalyptic number.

14145310102000 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 14145310102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21763364912640).

14145310102000 is an abundant number, since it is smaller than the sum of its proper divisors (29381419723280).

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

14145310102000 is a wasteful number, since it uses less digits than its factorization.

14145310102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36958 (or 36935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 14145310102000 its reverse (20101354141), we get a palindrome (14165411456141).

The spelling of 14145310102000 in words is "fourteen trillion, one hundred forty-five billion, three hundred ten million, one hundred two thousand".