14135305605120 has 1248 divisors, whose sum is σ = 56801610028800. Its totient is φ = 3184851419136.

The previous prime is 14135305605077. The next prime is 14135305605191. The reversal of 14135305605120 is 2150650353141.

14135305605120 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 30 + 5 + 605 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48243363694 + ... + 48243363986.

It is an arithmetic number, because the mean of its divisors is an integer number (45514110600).

Almost surely, 2^{14135305605120} is an apocalyptic number.

14135305605120 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 14135305605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28400805014400).

14135305605120 is an abundant number, since it is smaller than the sum of its proper divisors (42666304423680).

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

14135305605120 is a wasteful number, since it uses less digits than its factorization.

14135305605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 14135305605120 its reverse (2150650353141), we get a palindrome (16285955958261).

The spelling of 14135305605120 in words is "fourteen trillion, one hundred thirty-five billion, three hundred five million, six hundred five thousand, one hundred twenty".