14214434213300 has 72 divisors (see below), whose sum is σ = 31215879852696. Its totient is φ = 5617665884160.

The previous prime is 14214434213293. The next prime is 14214434213311. The reversal of 14214434213300 is 331243441241.

It can be written as a sum of positive squares in 12 ways, for example, as 690913388944 + 13523520824356 = 831212^2 + 3677434^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4516514 + ... + 6987686.

It is an arithmetic number, because the mean of its divisors is an integer number (433553886843).

Almost surely, 2^{14214434213300} is an apocalyptic number.

14214434213300 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 14214434213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607939926348).

14214434213300 is an abundant number, since it is smaller than the sum of its proper divisors (17001445639396).

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

14214434213300 is a wasteful number, since it uses less digits than its factorization.

14214434213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471877 (or 2471870 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14214434213300 its reverse (331243441241), we get a palindrome (14545677654541).

The spelling of 14214434213300 in words is "fourteen trillion, two hundred fourteen billion, four hundred thirty-four million, two hundred thirteen thousand, three hundred".