223509347152441 has 27 divisors (see below), whose sum is σ = 260482056028047. Its totient is φ = 191225389093200.

The previous prime is 223509347152433. The next prime is 223509347152477. The reversal of 223509347152441 is 144251743905322.

The square root of 223509347152441 is 14950229.

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

It can be written as a sum of positive squares in only one way, i.e., 46213198284841 + 177296148867600 = 6798029^2 + 13315260^2 .

It is not a de Polignac number, because 223509347152441 - 2³ = 223509347152433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (223509347152411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67709585491 + ... + 67709588791.

Almost surely, 2^{223509347152441} is an apocalyptic number.

223509347152441 is the 14950229-th square number.

223509347152441 is the 7475115-th centered octagonal number.

It is an amenable number.

223509347152441 is a deficient number, since it is larger than the sum of its proper divisors (36972708875606).

223509347152441 is an frugal number, since it uses more digits than its factorization.

223509347152441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 223509347152441 in words is "two hundred twenty-three trillion, five hundred nine billion, three hundred forty-seven million, one hundred fifty-two thousand, four hundred forty-one".