84516145217 has 32 divisors (see below), whose sum is σ = 101453214720. Its totient is φ = 68901580800.

The previous prime is 84516145193. The next prime is 84516145223. The reversal of 84516145217 is 71254161548.

It is a cyclic number.

It is not a de Polignac number, because 84516145217 - 2¹⁸ = 84515883073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84516145267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046113 + ... + 2087009.

It is an arithmetic number, because the mean of its divisors is an integer number (3170412960).

Almost surely, 2^84516145217 is an apocalyptic number.

It is an amenable number.

84516145217 is a deficient number, since it is larger than the sum of its proper divisors (16937069503).

84516145217 is a wasteful number, since it uses less digits than its factorization.

84516145217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41121.

The product of its digits is 268800, while the sum is 44.

The spelling of 84516145217 in words is "eighty-four billion, five hundred sixteen million, one hundred forty-five thousand, two hundred seventeen".