23205541087369 has 27 divisors (see below), whose sum is σ = 23926456779967. Its totient is φ = 22506019136000.

The previous prime is 23205541087357. The next prime is 23205541087423. The reversal of 23205541087369 is 96378014550232.

The square root of 23205541087369 is 4817213.

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

It can be written as a sum of positive squares in 13 ways, for example, as 294116405625 + 22911424681744 = 542325^2 + 4786588^2 .

It is not a de Polignac number, because 23205541087369 - 2²⁷ = 23205406869641 is a prime.

It is a super-2 number, since 2×23205541087369² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23205541087669) 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, 57869179569 + ... + 57869179969.

It is a 1-persistent number, because it is pandigital, but 2⋅23205541087369 = 46411082174738 is not.

Almost surely, 2^{23205541087369} is an apocalyptic number.

23205541087369 is the 4817213-rd square number.

23205541087369 is the 2408607-th centered octagonal number.

It is an amenable number.

23205541087369 is a deficient number, since it is larger than the sum of its proper divisors (720915692598).

23205541087369 is an frugal number, since it uses more digits than its factorization.

23205541087369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 23205541087369 in words is "twenty-three trillion, two hundred five billion, five hundred forty-one million, eighty-seven thousand, three hundred sixty-nine".