14112608495328 has 432 divisors, whose sum is σ = 46914572328624. Its totient is φ = 4012396093440.

The previous prime is 14112608495299. The next prime is 14112608495329. The reversal of 14112608495328 is 82359480621141.

14112608495328 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 60 + 8 + 49 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112608495329) by changing a digit.

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, 2715527226 + ... + 2715532422.

It is an arithmetic number, because the mean of its divisors is an integer number (108598547057).

Almost surely, 2^{14112608495328} is an apocalyptic number.

14112608495328 is a gapful number since it is divisible by the number (18) 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 14112608495328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457286164312).

14112608495328 is an abundant number, since it is smaller than the sum of its proper divisors (32801963833296).

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

14112608495328 is a wasteful number, since it uses less digits than its factorization.

14112608495328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 14112608495328 in words is "fourteen trillion, one hundred twelve billion, six hundred eight million, four hundred ninety-five thousand, three hundred twenty-eight".