23533355552161 has 27 divisors (see below), whose sum is σ = 29643888012921. Its totient is φ = 18619448518944.

The previous prime is 23533355552137. The next prime is 23533355552197. The reversal of 23533355552161 is 16125555333532.

The square root of 23533355552161 is 4851119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7467239390625 + 16066116161536 = 2732625^2 + 4008256^2 .

It is not a de Polignac number, because 23533355552161 - 2⁹ = 23533355551649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (23533355552261) 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, 441425175 + ... + 441478483.

Almost surely, 2^{23533355552161} is an apocalyptic number.

23533355552161 is the 4851119-th square number.

23533355552161 is the 2425560-th centered octagonal number.

It is an amenable number.

23533355552161 is a deficient number, since it is larger than the sum of its proper divisors (6110532460760).

23533355552161 is an frugal number, since it uses more digits than its factorization.

23533355552161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106658 (or 53329 counting only the distinct ones).

The product of its digits is 6075000, while the sum is 49.

23533355552161 divided by its sum of digits (49) gives a square (480272562289 = 693017²).

The spelling of 23533355552161 in words is "twenty-three trillion, five hundred thirty-three billion, three hundred fifty-five million, five hundred fifty-two thousand, one hundred sixty-one".