217165788010116 has 189 divisors, whose sum is σ = 626333826029653. Its totient is φ = 65805161970240.

The previous prime is 217165788010109. The next prime is 217165788010117. The reversal of 217165788010116 is 611010887561712.

The square root of 217165788010116 is 14736546.

It is a perfect power (a square), and thus also a powerful number.

217165788010116 is a `hidden beast` number, since 217 + 165 + 78 + 80 + 10 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 190582276963716 + 26583511046400 = 13805154^2 + 5155920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217165788010117) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8753495920 + ... + 8753520728.

Almost surely, 2^{217165788010116} is an apocalyptic number.

217165788010116 is the 14736546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217165788010116

217165788010116 is an abundant number, since it is smaller than the sum of its proper divisors (409168038019537).

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

217165788010116 is an frugal number, since it uses more digits than its factorization.

217165788010116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49662 (or 24825 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 217165788010116 in words is "two hundred seventeen trillion, one hundred sixty-five billion, seven hundred eighty-eight million, ten thousand, one hundred sixteen".