14688141 has 16 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 8746560.

The previous prime is 14688139. The next prime is 14688161. The reversal of 14688141 is 14188641.

14688141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14688141 - 2¹ = 14688139 is a prime.

It is a super-3 number, since 3×14688141³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^14688141 is an apocalyptic number.

It is an amenable number.

14688141 is a deficient number, since it is larger than the sum of its proper divisors (7084659).

14688141 is a wasteful number, since it uses less digits than its factorization.

14688141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196.

The product of its digits is 6144, while the sum is 33.

The square root of 14688141 is about 3832.5110567355. The cubic root of 14688141 is about 244.9000897636.

Subtracting from 14688141 its reverse (14188641), we obtain a triangular number (499500 = T₉₉₉).

The spelling of 14688141 in words is "fourteen million, six hundred eighty-eight thousand, one hundred forty-one".