14131418112 has 792 divisors, whose sum is σ = 52664233440. Its totient is φ = 3762339840.

The previous prime is 14131418101. The next prime is 14131418123. The reversal of 14131418112 is 21181413141.

14131418112 is a `hidden beast` number, since 1 + 4 + 131 + 418 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (14131418101) and next prime (14131418123).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231662562 + ... + 231662622.

Almost surely, 2^14131418112 is an apocalyptic number.

14131418112 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 14131418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332116720).

14131418112 is an abundant number, since it is smaller than the sum of its proper divisors (38532815328).

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

14131418112 is an equidigital number, since it uses as much as digits as its factorization.

14131418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The spelling of 14131418112 in words is "fourteen billion, one hundred thirty-one million, four hundred eighteen thousand, one hundred twelve".