14517235000 has 320 divisors, whose sum is σ = 38715732000. Its totient is φ = 5068800000.

The previous prime is 14517234997. The next prime is 14517235037. The reversal of 14517235000 is 53271541.

It is a happy number.

14517235000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14517235000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14517235000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143734950 + ... + 143735050.

Almost surely, 2^14517235000 is an apocalyptic number.

14517235000 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 14517235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357866000).

14517235000 is an abundant number, since it is smaller than the sum of its proper divisors (24198497000).

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

14517235000 is a wasteful number, since it uses less digits than its factorization.

14517235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 14517235000 in words is "fourteen billion, five hundred seventeen million, two hundred thirty-five thousand".