209212717168 has 160 divisors (see below), whose sum is σ = 518051287040. Its totient is φ = 80092696320.

The previous prime is 209212717151. The next prime is 209212717169. The reversal of 209212717168 is 861717212902.

It is a super-2 number, since 2×209212717168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209212717169) 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, 7614271 + ... + 7641697.

It is an arithmetic number, because the mean of its divisors is an integer number (3237820544).

Almost surely, 2^209212717168 is an apocalyptic number.

209212717168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209212717168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259025643520).

209212717168 is an abundant number, since it is smaller than the sum of its proper divisors (308838569872).

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

209212717168 is a wasteful number, since it uses less digits than its factorization.

209212717168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27512 (or 27480 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 209212717168 in words is "two hundred nine billion, two hundred twelve million, seven hundred seventeen thousand, one hundred sixty-eight".