8214340434129 has 6 divisors (see below), whose sum is σ = 11865158404866. Its totient is φ = 5476226956080.

The previous prime is 8214340434109. The next prime is 8214340434137. The reversal of 8214340434129 is 9214340434128.

8214340434129 is a `hidden beast` number, since 8 + 214 + 3 + 404 + 3 + 4 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8203343765904 + 10996668225 = 2864148^2 + 104865^2 .

It is not a de Polignac number, because 8214340434129 - 2²⁵ = 8214306879697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8214340434109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 456352246332 + ... + 456352246349.

It is an arithmetic number, because the mean of its divisors is an integer number (1977526400811).

Almost surely, 2^{8214340434129} is an apocalyptic number.

It is an amenable number.

8214340434129 is a deficient number, since it is larger than the sum of its proper divisors (3650817970737).

8214340434129 is a wasteful number, since it uses less digits than its factorization.

8214340434129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912704492687 (or 912704492684 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Subtracting 8214340434129 from its reverse (9214340434128), we obtain a palindrome (999999999999).

The spelling of 8214340434129 in words is "eight trillion, two hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred twenty-nine".