13854696768 has 336 divisors, whose sum is σ = 44972606016. Its totient is φ = 4041031680.

The previous prime is 13854696763. The next prime is 13854696799. The reversal of 13854696768 is 86769645831.

13854696768 is a `hidden beast` number, since 13 + 8 + 546 + 9 + 6 + 76 + 8 = 666.

13854696768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854696763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26490555 + ... + 26491077.

Almost surely, 2^13854696768 is an apocalyptic number.

13854696768 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 13854696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486303008).

13854696768 is an abundant number, since it is smaller than the sum of its proper divisors (31117909248).

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

13854696768 is a wasteful number, since it uses less digits than its factorization.

13854696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 13854696768 in words is "thirteen billion, eight hundred fifty-four million, six hundred ninety-six thousand, seven hundred sixty-eight".