13914471168 has 288 divisors, whose sum is σ = 46924516800. Its totient is φ = 4029087744.

The previous prime is 13914471163. The next prime is 13914471199. The reversal of 13914471168 is 86117441931.

13914471168 is a `hidden beast` number, since 1 + 3 + 9 + 14 + 471 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13914471168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13914471163) 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 31 ways as a sum of consecutive naturals, for example, 1522998 + ... + 1532106.

It is an arithmetic number, because the mean of its divisors is an integer number (162932350).

Almost surely, 2^13914471168 is an apocalyptic number.

13914471168 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 13914471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23462258400).

13914471168 is an abundant number, since it is smaller than the sum of its proper divisors (33010045632).

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

13914471168 is a wasteful number, since it uses less digits than its factorization.

13914471168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9144 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 13914471168 in words is "thirteen billion, nine hundred fourteen million, four hundred seventy-one thousand, one hundred sixty-eight".