217739513312 has 48 divisors (see below), whose sum is σ = 436954703472. Its totient is φ = 106768696320.

The previous prime is 217739513287. The next prime is 217739513323. The reversal of 217739513312 is 213315937712.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4004387 + ... + 4058397.

It is an arithmetic number, because the mean of its divisors is an integer number (9103222989).

Almost surely, 2^217739513312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217739513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218477351736).

217739513312 is an abundant number, since it is smaller than the sum of its proper divisors (219215190160).

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

217739513312 is a wasteful number, since it uses less digits than its factorization.

217739513312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56451 (or 56443 counting only the distinct ones).

The product of its digits is 238140, while the sum is 44.

The spelling of 217739513312 in words is "two hundred seventeen billion, seven hundred thirty-nine million, five hundred thirteen thousand, three hundred twelve".