84014429325267 has 16 divisors (see below), whose sum is σ = 128022281142272. Its totient is φ = 48008135229120.

The previous prime is 84014429325217. The next prime is 84014429325287. The reversal of 84014429325267 is 76252392441048.

It is a de Polignac number, because none of the positive numbers 2^k-84014429325267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84014429325217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5281167 + ... + 13997127.

It is an arithmetic number, because the mean of its divisors is an integer number (8001392571392).

It is a 1-persistent number, because it is pandigital, but 2⋅84014429325267 = 168028858650534 is not.

Almost surely, 2^{84014429325267} is an apocalyptic number.

84014429325267 is a deficient number, since it is larger than the sum of its proper divisors (44007851817005).

84014429325267 is a wasteful number, since it uses less digits than its factorization.

84014429325267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174978.

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 84014429325267 in words is "eighty-four trillion, fourteen billion, four hundred twenty-nine million, three hundred twenty-five thousand, two hundred sixty-seven".