14288275152 has 80 divisors (see below), whose sum is σ = 41590373760. Its totient is φ = 4695667200.

The previous prime is 14288275151. The next prime is 14288275153. The reversal of 14288275152 is 25157288241.

14288275152 is a `hidden beast` number, since 1 + 428 + 8 + 2 + 75 + 152 = 666.

14288275152 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 (14288275151) and next prime (14288275153).

It is a junction number, because it is equal to n+sod(n) for n = 14288275098 and 14288275107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288275151) 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 15 ways as a sum of consecutive naturals, for example, 202249 + ... + 263592.

It is an arithmetic number, because the mean of its divisors is an integer number (519879672).

Almost surely, 2^14288275152 is an apocalyptic number.

14288275152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14288275152 is an abundant number, since it is smaller than the sum of its proper divisors (27302098608).

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

14288275152 is a wasteful number, since it uses less digits than its factorization.

14288275152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465929 (or 465917 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The spelling of 14288275152 in words is "fourteen billion, two hundred eighty-eight million, two hundred seventy-five thousand, one hundred fifty-two".