223518091729 has 27 divisors (see below), whose sum is σ = 238925864667. Its totient is φ = 209073336048.

The previous prime is 223518091711. The next prime is 223518091757. The reversal of 223518091729 is 927190815322.

The square root of 223518091729 is 472777.

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

223518091729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26186683329 + 197331408400 = 161823^2 + 444220^2 .

It is not a de Polignac number, because 223518091729 - 2¹⁵ = 223518058961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223518091789) 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 26 ways as a sum of consecutive naturals, for example, 1338431604 + ... + 1338431770.

Almost surely, 2^223518091729 is an apocalyptic number.

223518091729 is the 472777-th square number.

223518091729 is the 236389-th centered octagonal number.

It is an amenable number.

223518091729 is a deficient number, since it is larger than the sum of its proper divisors (15407772938).

223518091729 is an frugal number, since it uses more digits than its factorization.

223518091729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 223518091729 by its sum of digits (49), we get a square (10952386494721 = 3309439²).

The spelling of 223518091729 in words is "two hundred twenty-three billion, five hundred eighteen million, ninety-one thousand, seven hundred twenty-nine".