14114146800347 has 16 divisors (see below), whose sum is σ = 15410385064800. Its totient is φ = 12820099184640.

The previous prime is 14114146800331. The next prime is 14114146800389. The reversal of 14114146800347 is 74300864141141.

It is a happy number.

It is not a de Polignac number, because 14114146800347 - 2⁴ = 14114146800331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14114146800298 and 14114146800307.

It is not an unprimeable number, because it can be changed into a prime (14114146800307) 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, 213529679 + ... + 213595767.

It is an arithmetic number, because the mean of its divisors is an integer number (963149066550).

Almost surely, 2^{14114146800347} is an apocalyptic number.

14114146800347 is a deficient number, since it is larger than the sum of its proper divisors (1296238264453).

14114146800347 is a wasteful number, since it uses less digits than its factorization.

14114146800347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82366.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 14114146800347 in words is "fourteen trillion, one hundred fourteen billion, one hundred forty-six million, eight hundred thousand, three hundred forty-seven".