14014616112 has 200 divisors, whose sum is σ = 46452384000. Its totient is φ = 3995941248.

The previous prime is 14014616101. The next prime is 14014616117. The reversal of 14014616112 is 21161641041.

14014616112 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 46 + 1 + 611 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14014616117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5432839 + ... + 5435417.

It is an arithmetic number, because the mean of its divisors is an integer number (232261920).

Almost surely, 2^14014616112 is an apocalyptic number.

14014616112 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 14014616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226192000).

14014616112 is an abundant number, since it is smaller than the sum of its proper divisors (32437767888).

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

14014616112 is a wasteful number, since it uses less digits than its factorization.

14014616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14014616112 in words is "fourteen billion, fourteen million, six hundred sixteen thousand, one hundred twelve".