14112838656 has 440 divisors, whose sum is σ = 48824061440. Its totient is φ = 3977330688.

The previous prime is 14112838651. The next prime is 14112838679. The reversal of 14112838656 is 65683821141.

14112838656 is a `hidden beast` number, since 141 + 128 + 386 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112838651) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 63286161 + ... + 63286383.

It is an arithmetic number, because the mean of its divisors is an integer number (110963776).

Almost surely, 2^14112838656 is an apocalyptic number.

14112838656 is a gapful number since it is divisible by the number (16) 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 14112838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412030720).

14112838656 is an abundant number, since it is smaller than the sum of its proper divisors (34711222784).

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

14112838656 is a wasteful number, since it uses less digits than its factorization.

14112838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 14112838656 in words is "fourteen billion, one hundred twelve million, eight hundred thirty-eight thousand, six hundred fifty-six".