14168001330 has 256 divisors, whose sum is σ = 45292262400. Its totient is φ = 3083028480.

The previous prime is 14168001317. The next prime is 14168001343. The reversal of 14168001330 is 3310086141.

14168001330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14168001317) and next prime (14168001343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14168001294 and 14168001303.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3999360 + ... + 4002900.

It is an arithmetic number, because the mean of its divisors is an integer number (176922900).

Almost surely, 2^14168001330 is an apocalyptic number.

14168001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14168001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646131200).

14168001330 is an abundant number, since it is smaller than the sum of its proper divisors (31124261070).

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

14168001330 is a wasteful number, since it uses less digits than its factorization.

14168001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14168001330 its reverse (3310086141), we get a palindrome (17478087471).

The spelling of 14168001330 in words is "fourteen billion, one hundred sixty-eight million, one thousand, three hundred thirty".