14224600401 has 48 divisors (see below), whose sum is σ = 22898641920. Its totient is φ = 7812050400.

The previous prime is 14224600331. The next prime is 14224600409. The reversal of 14224600401 is 10400642241.

It is a happy number.

It is not a de Polignac number, because 14224600401 - 2¹³ = 14224592209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14224600409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113796 + ... + 203466.

It is an arithmetic number, because the mean of its divisors is an integer number (477055040).

Almost surely, 2^14224600401 is an apocalyptic number.

14224600401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14224600401 is a deficient number, since it is larger than the sum of its proper divisors (8674041519).

14224600401 is a wasteful number, since it uses less digits than its factorization.

14224600401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89738 (or 89727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 14224600401 in words is "fourteen billion, two hundred twenty-four million, six hundred thousand, four hundred one".