14286112848 has 240 divisors, whose sum is σ = 46665465600. Its totient is φ = 3995744256.

The previous prime is 14286112823. The next prime is 14286112859. The reversal of 14286112848 is 84821168241.

14286112848 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 611 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×14286112848² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10963365 + ... + 10964667.

It is an arithmetic number, because the mean of its divisors is an integer number (194439440).

Almost surely, 2^14286112848 is an apocalyptic number.

14286112848 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 14286112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332732800).

14286112848 is an abundant number, since it is smaller than the sum of its proper divisors (32379352752).

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

14286112848 is a wasteful number, since it uses less digits than its factorization.

14286112848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1537 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 14286112848 in words is "fourteen billion, two hundred eighty-six million, one hundred twelve thousand, eight hundred forty-eight".