14287827348 has 36 divisors (see below), whose sum is σ = 36120700980. Its totient is φ = 4762048896.

The previous prime is 14287827341. The next prime is 14287827403. The reversal of 14287827348 is 84372878241.

14287827348 is a `hidden beast` number, since 14 + 287 + 8 + 2 + 7 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6877716624 + 7410110724 = 82932^2 + 86082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14287827294 and 14287827303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287827341) 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 11 ways as a sum of consecutive naturals, for example, 384618 + ... + 420126.

It is an arithmetic number, because the mean of its divisors is an integer number (1003352805).

Almost surely, 2^14287827348 is an apocalyptic number.

14287827348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14287827348 is an abundant number, since it is smaller than the sum of its proper divisors (21832873632).

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

14287827348 is a wasteful number, since it uses less digits than its factorization.

14287827348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46696 (or 46691 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 14287827348 in words is "fourteen billion, two hundred eighty-seven million, eight hundred twenty-seven thousand, three hundred forty-eight".