214116137265 has 64 divisors (see below), whose sum is σ = 354454216704. Its totient is φ = 110310567168.

The previous prime is 214116137243. The next prime is 214116137269. The reversal of 214116137265 is 562731611412.

214116137265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214116137265 - 2³⁵ = 179756398897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214116137269) 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 63 ways as a sum of consecutive naturals, for example, 20890372 + ... + 20900618.

It is an arithmetic number, because the mean of its divisors is an integer number (5538347136).

Almost surely, 2^214116137265 is an apocalyptic number.

It is an amenable number.

214116137265 is a deficient number, since it is larger than the sum of its proper divisors (140338079439).

214116137265 is a wasteful number, since it uses less digits than its factorization.

214116137265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686.

The product of its digits is 60480, while the sum is 39.

Adding to 214116137265 its reverse (562731611412), we get a palindrome (776847748677).

The spelling of 214116137265 in words is "two hundred fourteen billion, one hundred sixteen million, one hundred thirty-seven thousand, two hundred sixty-five".