14288825376 has 144 divisors (see below), whose sum is σ = 47571608448. Its totient is φ = 3982924800.

The previous prime is 14288825347. The next prime is 14288825377. The reversal of 14288825376 is 67352888241.

14288825376 is a `hidden beast` number, since 1 + 4 + 28 + 8 + 82 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14288825377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3780 + ... + 169091.

It is an arithmetic number, because the mean of its divisors is an integer number (330358392).

Almost surely, 2^14288825376 is an apocalyptic number.

14288825376 is a gapful number since it is divisible by the number (16) 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 14288825376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23785804224).

14288825376 is an abundant number, since it is smaller than the sum of its proper divisors (33282783072).

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

14288825376 is a wasteful number, since it uses less digits than its factorization.

14288825376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172935 (or 172924 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 14288825376 in words is "fourteen billion, two hundred eighty-eight million, eight hundred twenty-five thousand, three hundred seventy-six".