14202400113 has 48 divisors (see below), whose sum is σ = 23229460800. Its totient is φ = 8599711680.

The previous prime is 14202400103. The next prime is 14202400153. The reversal of 14202400113 is 31100420241.

14202400113 is a `hidden beast` number, since 1 + 420 + 240 + 0 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 14202400113 - 2⁴ = 14202400097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14202400103) 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, 4566603 + ... + 4569711.

It is an arithmetic number, because the mean of its divisors is an integer number (483947100).

Almost surely, 2^14202400113 is an apocalyptic number.

It is an amenable number.

14202400113 is a deficient number, since it is larger than the sum of its proper divisors (9027060687).

14202400113 is a wasteful number, since it uses less digits than its factorization.

14202400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14202400113 its reverse (31100420241), we get a palindrome (45302820354).

The spelling of 14202400113 in words is "fourteen billion, two hundred two million, four hundred thousand, one hundred thirteen".