14114104203132 has 192 divisors, whose sum is σ = 39514163404800. Its totient is φ = 4344003924480.

The previous prime is 14114104203131. The next prime is 14114104203181. The reversal of 14114104203132 is 23130240141141.

It is a happy number.

14114104203132 is a `hidden beast` number, since 1 + 4 + 11 + 410 + 4 + 203 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14114104203096 and 14114104203105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114104203131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30339744 + ... + 30801432.

It is an arithmetic number, because the mean of its divisors is an integer number (205802934400).

Almost surely, 2^{14114104203132} is an apocalyptic number.

14114104203132 is a gapful number since it is divisible by the number (12) 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 14114104203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19757081702400).

14114104203132 is an abundant number, since it is smaller than the sum of its proper divisors (25400059201668).

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

14114104203132 is a wasteful number, since it uses less digits than its factorization.

14114104203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462153 (or 462145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14114104203132 its reverse (23130240141141), we get a palindrome (37244344344273).

The spelling of 14114104203132 in words is "fourteen trillion, one hundred fourteen billion, one hundred four million, two hundred three thousand, one hundred thirty-two".