217197009936 has 135 divisors (see below), whose sum is σ = 617660989023. Its totient is φ = 71248806720.

The previous prime is 217197009847. The next prime is 217197009937. The reversal of 217197009936 is 639900791712.

It is a happy number.

The square root of 217197009936 is 466044.

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

It is a super-2 number, since 2×217197009936² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217197009937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 397069215 + ... + 397069761.

Almost surely, 2^217197009936 is an apocalyptic number.

217197009936 is the 466044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217197009936

217197009936 is an abundant number, since it is smaller than the sum of its proper divisors (400463979087).

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

217197009936 is an frugal number, since it uses more digits than its factorization.

217197009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 217197009936 in words is "two hundred seventeen billion, one hundred ninety-seven million, nine thousand, nine hundred thirty-six".