217148544064 has 63 divisors (see below), whose sum is σ = 445489755831. Its totient is φ = 105015957120.

The previous prime is 217148544059. The next prime is 217148544101. The reversal of 217148544064 is 460445841712.

The square root of 217148544064 is 465992.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×217148544064² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 115565077 + ... + 115566955.

Almost surely, 2^217148544064 is an apocalyptic number.

217148544064 is the 465992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217148544064

217148544064 is an abundant number, since it is smaller than the sum of its proper divisors (228341211767).

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

217148544064 is an frugal number, since it uses more digits than its factorization.

217148544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 217148544064 in words is "two hundred seventeen billion, one hundred forty-eight million, five hundred forty-four thousand, sixty-four".