14287795206399 has 96 divisors (see below), whose sum is σ = 25337573150400. Its totient is φ = 7903359129600.

The previous prime is 14287795206397. The next prime is 14287795206407. The reversal of 14287795206399 is 99360259778241.

14287795206399 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 7 + 7 + 9 + 520 + 6 + 3 + 99 = 666.

It is a Cunningham number, because it is equal to 3779920²-1.

It is not a de Polignac number, because 14287795206399 - 2¹ = 14287795206397 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287795206397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1889959 + ... + 5669879.

It is an arithmetic number, because the mean of its divisors is an integer number (263933053650).

It is a 1-persistent number, because it is pandigital, but 2⋅14287795206399 = 28575590412798 is not.

Almost surely, 2^{14287795206399} is an apocalyptic number.

14287795206399 is a deficient number, since it is larger than the sum of its proper divisors (11049777944001).

14287795206399 is a wasteful number, since it uses less digits than its factorization.

14287795206399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780054 (or 3780037 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 14287795206399 in words is "fourteen trillion, two hundred eighty-seven billion, seven hundred ninety-five million, two hundred six thousand, three hundred ninety-nine".