217258738418196 has 144 divisors (see below), whose sum is σ = 565568609144448. Its totient is φ = 70277571993600.

The previous prime is 217258738418149. The next prime is 217258738418203. The reversal of 217258738418196 is 691814837852712.

217258738418196 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 5 + 87 + 384 + 1 + 81 + 96 = 666.

It is a super-2 number, since 2×217258738418196² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2258100531 + ... + 2258196741.

Almost surely, 2^{217258738418196} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217258738418196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282784304572224).

217258738418196 is an abundant number, since it is smaller than the sum of its proper divisors (348309870726252).

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

217258738418196 is a wasteful number, since it uses less digits than its factorization.

217258738418196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104382 (or 104377 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 217258738418196 in words is "two hundred seventeen trillion, two hundred fifty-eight billion, seven hundred thirty-eight million, four hundred eighteen thousand, one hundred ninety-six".