23263248593601 has 63 divisors (see below), whose sum is σ = 35758578666873. Its totient is φ = 15127095487680.

The previous prime is 23263248593581. The next prime is 23263248593647. The reversal of 23263248593601 is 10639584236232.

The square root of 23263248593601 is 4823199.

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

23263248593601 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 3 + 2 + 48 + 593 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 838515647025 + 22424732946576 = 915705^2 + 4735476^2 .

It is not a de Polignac number, because 23263248593601 - 2⁹ = 23263248593089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23263248593801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5339279115 + ... + 5339283471.

Almost surely, 2^{23263248593601} is an apocalyptic number.

23263248593601 is the 4823199-th square number.

23263248593601 is the 2411600-th centered octagonal number.

It is an amenable number.

23263248593601 is a deficient number, since it is larger than the sum of its proper divisors (12495330073272).

23263248593601 is an frugal number, since it uses more digits than its factorization.

23263248593601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 23263248593601 in words is "twenty-three trillion, two hundred sixty-three billion, two hundred forty-eight million, five hundred ninety-three thousand, six hundred one".