14141876112 has 360 divisors, whose sum is σ = 50377733952. Its totient is φ = 3606197760.

The previous prime is 14141876057. The next prime is 14141876171. The reversal of 14141876112 is 21167814141.

It is a happy number.

14141876112 is a `hidden beast` number, since 1 + 414 + 187 + 61 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12592383 + ... + 12593505.

Almost surely, 2^14141876112 is an apocalyptic number.

14141876112 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 14141876112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188866976).

14141876112 is an abundant number, since it is smaller than the sum of its proper divisors (36235857840).

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

14141876112 is a wasteful number, since it uses less digits than its factorization.

14141876112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1179 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 14141876112 in words is "fourteen billion, one hundred forty-one million, eight hundred seventy-six thousand, one hundred twelve".