217111343111712 has 72 divisors (see below), whose sum is σ = 705611865119616. Its totient is φ = 62031812317056.

The previous prime is 217111343111701. The next prime is 217111343111791.

217111343111712 is a `hidden beast` number, since 2 + 171 + 1 + 1 + 3 + 4 + 311 + 171 + 2 = 666.

217111343111712 is nontrivially palindromic in base 10.

217111343111712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53847057288 + ... + 53847061319.

It is an arithmetic number, because the mean of its divisors is an integer number (9800164793328).

Almost surely, 2^{217111343111712} is an apocalyptic number.

It is an amenable number.

217111343111712 is an abundant number, since it is smaller than the sum of its proper divisors (488500522007904).

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

217111343111712 is a wasteful number, since it uses less digits than its factorization.

217111343111712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107694118630 (or 107694118619 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The spelling of 217111343111712 in words is "two hundred seventeen trillion, one hundred eleven billion, three hundred forty-three million, one hundred eleven thousand, seven hundred twelve".