14001332234100 has 144 divisors (see below), whose sum is σ = 41079821223168. Its totient is φ = 3681254338560.

The previous prime is 14001332234069. The next prime is 14001332234119. The reversal of 14001332234100 is 143223310041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63333957 + ... + 63554643.

It is an arithmetic number, because the mean of its divisors is an integer number (285276536272).

Almost surely, 2^{14001332234100} is an apocalyptic number.

14001332234100 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 14001332234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539910611584).

14001332234100 is an abundant number, since it is smaller than the sum of its proper divisors (27078488989068).

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

14001332234100 is a wasteful number, since it uses less digits than its factorization.

14001332234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223674 (or 223667 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14001332234100 its reverse (143223310041), we get a palindrome (14144555544141).

The spelling of 14001332234100 in words is "fourteen trillion, one billion, three hundred thirty-two million, two hundred thirty-four thousand, one hundred".