217089837214208 has 160 divisors (see below), whose sum is σ = 502546697452800. Its totient is φ = 91757567508480.

The previous prime is 217089837214141. The next prime is 217089837214267. The reversal of 217089837214208 is 802412738980712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6548894018 + ... + 6548927166.

It is an arithmetic number, because the mean of its divisors is an integer number (3140916859080).

Almost surely, 2^{217089837214208} is an apocalyptic number.

217089837214208 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 217089837214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251273348726400).

217089837214208 is an abundant number, since it is smaller than the sum of its proper divisors (285456860238592).

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

217089837214208 is an equidigital number, since it uses as much as digits as its factorization.

217089837214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58278 (or 58262 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 62.

The spelling of 217089837214208 in words is "two hundred seventeen trillion, eighty-nine billion, eight hundred thirty-seven million, two hundred fourteen thousand, two hundred eight".