217638950213344 has 48 divisors (see below), whose sum is σ = 492030641047680. Its totient is φ = 93720122098560.

The previous prime is 217638950213281. The next prime is 217638950213369. The reversal of 217638950213344 is 443312059836712.

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, 16270847844 + ... + 16270861219.

It is an arithmetic number, because the mean of its divisors is an integer number (10250638355160).

It is a 1-persistent number, because it is pandigital, but 2⋅217638950213344 = 435277900426688 is not.

Almost surely, 2^{217638950213344} is an apocalyptic number.

It is an amenable number.

217638950213344 is an abundant number, since it is smaller than the sum of its proper divisors (274391690834336).

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

217638950213344 is a wasteful number, since it uses less digits than its factorization.

217638950213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32541709103 (or 32541709095 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 217638950213344 in words is "two hundred seventeen trillion, six hundred thirty-eight billion, nine hundred fifty million, two hundred thirteen thousand, three hundred forty-four".