14032231101000 has 768 divisors, whose sum is σ = 59170745088000. Its totient is φ = 3038551315200.

The previous prime is 14032231100971. The next prime is 14032231101001. The reversal of 14032231101000 is 10113223041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14032231101001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 32101911 + ... + 32536089.

It is an arithmetic number, because the mean of its divisors is an integer number (77045241000).

Almost surely, 2^{14032231101000} is an apocalyptic number.

14032231101000 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 14032231101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29585372544000).

14032231101000 is an abundant number, since it is smaller than the sum of its proper divisors (45138513987000).

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

14032231101000 is a wasteful number, since it uses less digits than its factorization.

14032231101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434241 (or 434215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14032231101000 its reverse (10113223041), we get a palindrome (14042344324041).

The spelling of 14032231101000 in words is "fourteen trillion, thirty-two billion, two hundred thirty-one million, one hundred one thousand".