217193967000248 has 32 divisors (see below), whose sum is σ = 480429051432960. Its totient is φ = 90080447142240.

The previous prime is 217193967000229. The next prime is 217193967000301. The reversal of 217193967000248 is 842000769391712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62555864336 + ... + 62555867807.

It is an arithmetic number, because the mean of its divisors is an integer number (15013407857280).

Almost surely, 2^{217193967000248} is an apocalyptic number.

217193967000248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217193967000248 is an abundant number, since it is smaller than the sum of its proper divisors (263235084432712).

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

217193967000248 is a wasteful number, since it uses less digits than its factorization.

217193967000248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125111732187 (or 125111732183 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 217193967000248 in words is "two hundred seventeen trillion, one hundred ninety-three billion, nine hundred sixty-seven million, two hundred forty-eight", and thus it is an aban number.