14442614401 has 8 divisors (see below), whose sum is σ = 15360758784. Its totient is φ = 13532089920.

The previous prime is 14442614387. The next prime is 14442614453. The reversal of 14442614401 is 10441624441.

14442614401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14442614401 - 2²⁵ = 14409059969 is a prime.

It is a super-2 number, since 2×14442614401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14442614471) 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 7 ways as a sum of consecutive naturals, for example, 1901065 + ... + 1908646.

It is an arithmetic number, because the mean of its divisors is an integer number (1920094848).

Almost surely, 2^14442614401 is an apocalyptic number.

It is an amenable number.

14442614401 is a deficient number, since it is larger than the sum of its proper divisors (918144383).

14442614401 is a wasteful number, since it uses less digits than its factorization.

14442614401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809951.

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 14442614401 in words is "fourteen billion, four hundred forty-two million, six hundred fourteen thousand, four hundred one".