14531353000 has 64 divisors (see below), whose sum is σ = 34125034320. Its totient is φ = 5791744000.

The previous prime is 14531352977. The next prime is 14531353003. The reversal of 14531353000 is 35313541.

It can be written as a sum of positive squares in 8 ways, for example, as 1790813124 + 12740539876 = 42318^2 + 112874^2 .

It is a super-2 number, since 2×14531353000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14531353003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255144 + ... + 306856.

Almost surely, 2^14531353000 is an apocalyptic number.

14531353000 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 14531353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062517160).

14531353000 is an abundant number, since it is smaller than the sum of its proper divisors (19593681320).

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

14531353000 is a wasteful number, since it uses less digits than its factorization.

14531353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52015 (or 52001 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 14531353000 its reverse (35313541), we get a palindrome (14566666541).

The spelling of 14531353000 in words is "fourteen billion, five hundred thirty-one million, three hundred fifty-three thousand".