14412114432 has 160 divisors (see below), whose sum is σ = 43002009600. Its totient is φ = 4765630464.

The previous prime is 14412114419. The next prime is 14412114443. The reversal of 14412114432 is 23441121441.

14412114432 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 211 + 443 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14412114396 and 14412114405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1751544 + ... + 1759752.

It is an arithmetic number, because the mean of its divisors is an integer number (268762560).

Almost surely, 2^14412114432 is an apocalyptic number.

14412114432 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 14412114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501004800).

14412114432 is an abundant number, since it is smaller than the sum of its proper divisors (28589895168).

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

14412114432 is an equidigital number, since it uses as much as digits as its factorization.

14412114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8341 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 14412114432 its reverse (23441121441), we get a palindrome (37853235873).

The spelling of 14412114432 in words is "fourteen billion, four hundred twelve million, one hundred fourteen thousand, four hundred thirty-two".