217134303431712 has 96 divisors (see below), whose sum is σ = 600064102249920. Its totient is φ = 68558700257280.

The previous prime is 217134303431581. The next prime is 217134303431719.

217134303431712 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (217134303431719) 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 15 ways as a sum of consecutive naturals, for example, 3777288 + ... + 21178680.

It is an arithmetic number, because the mean of its divisors is an integer number (6250667731770).

Almost surely, 2^{217134303431712} is an apocalyptic number.

It is an amenable number.

217134303431712 is an abundant number, since it is smaller than the sum of its proper divisors (382929798818208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217134303431712 is a wasteful number, since it uses less digits than its factorization.

217134303431712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408266 (or 17408258 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 217134303431712 in words is "two hundred seventeen trillion, one hundred thirty-four billion, three hundred three million, four hundred thirty-one thousand, seven hundred twelve".