217023307776 has 1008 divisors, whose sum is σ = 770926049712. Its totient is φ = 60728279040.

The previous prime is 217023307763. The next prime is 217023307819. The reversal of 217023307776 is 677703320712.

It is a super-2 number, since 2×217023307776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4094779366 + ... + 4094779418.

It is an arithmetic number, because the mean of its divisors is an integer number (764807589).

Almost surely, 2^217023307776 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 217023307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385463024856).

217023307776 is an abundant number, since it is smaller than the sum of its proper divisors (553902741936).

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

217023307776 is an equidigital number, since it uses as much as digits as its factorization.

217023307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 217023307776 in words is "two hundred seventeen billion, twenty-three million, three hundred seven thousand, seven hundred seventy-six".