14406541688 has 64 divisors (see below), whose sum is σ = 33956133120. Its totient is φ = 5612909280.

The previous prime is 14406541687. The next prime is 14406541691. The reversal of 14406541688 is 88614560441.

14406541688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×14406541688⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14406541687) 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, 22106 + ... + 171177.

It is an arithmetic number, because the mean of its divisors is an integer number (530564580).

Almost surely, 2^14406541688 is an apocalyptic number.

It is an amenable number.

14406541688 is an abundant number, since it is smaller than the sum of its proper divisors (19549591432).

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

14406541688 is a wasteful number, since it uses less digits than its factorization.

14406541688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193329 (or 193303 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 14406541688 in words is "fourteen billion, four hundred six million, five hundred forty-one thousand, six hundred eighty-eight".