13914843768 has 256 divisors, whose sum is σ = 45794918400. Its totient is φ = 3830924160.

The previous prime is 13914843763. The next prime is 13914843809. The reversal of 13914843768 is 86734841931.

13914843768 is a `hidden beast` number, since 1 + 3 + 9 + 148 + 437 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13914843763) 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 63 ways as a sum of consecutive naturals, for example, 14389221 + ... + 14390187.

It is an arithmetic number, because the mean of its divisors is an integer number (178886400).

Almost surely, 2^13914843768 is an apocalyptic number.

13914843768 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 13914843768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897459200).

13914843768 is an abundant number, since it is smaller than the sum of its proper divisors (31880074632).

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

13914843768 is a wasteful number, since it uses less digits than its factorization.

13914843768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13914843768 in words is "thirteen billion, nine hundred fourteen million, eight hundred forty-three thousand, seven hundred sixty-eight".