217358364464 has 80 divisors (see below), whose sum is σ = 450407005440. Its totient is φ = 101388672000.

The previous prime is 217358364439. The next prime is 217358364469. The reversal of 217358364464 is 464463853712.

217358364464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (217358364469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9496394 + ... + 9519254.

It is an arithmetic number, because the mean of its divisors is an integer number (5630087568).

Almost surely, 2^217358364464 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 217358364464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225203502720).

217358364464 is an abundant number, since it is smaller than the sum of its proper divisors (233048640976).

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

217358364464 is a wasteful number, since it uses less digits than its factorization.

217358364464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590 (or 23584 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 53.

The spelling of 217358364464 in words is "two hundred seventeen billion, three hundred fifty-eight million, three hundred sixty-four thousand, four hundred sixty-four".