217947749712 has 240 divisors, whose sum is σ = 714295698816. Its totient is φ = 56048256000.

The previous prime is 217947749689. The next prime is 217947749759.

217947749712 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4079718 + ... + 4132794.

Almost surely, 2^217947749712 is an apocalyptic number.

217947749712 is a gapful number since it is divisible by the number (22) 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 217947749712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357147849408).

217947749712 is an abundant number, since it is smaller than the sum of its proper divisors (496347949104).

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

217947749712 is a wasteful number, since it uses less digits than its factorization.

217947749712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53218 (or 53201 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 60.

The spelling of 217947749712 in words is "two hundred seventeen billion, nine hundred forty-seven million, seven hundred forty-nine thousand, seven hundred twelve".