23308628065801 has 27 divisors (see below), whose sum is σ = 25498825474143. Its totient is φ = 21296836891200.

The previous prime is 23308628065753. The next prime is 23308628065823. The reversal of 23308628065801 is 10856082680332.

The square root of 23308628065801 is 4827901.

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 1664360590201 + 21644267475600 = 1290101^2 + 4652340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-23308628065801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23308628065831) 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, 6339032175 + ... + 6339035851.

Almost surely, 2^{23308628065801} is an apocalyptic number.

23308628065801 is the 4827901-st square number.

23308628065801 is the 2413951-st centered octagonal number.

It is an amenable number.

23308628065801 is a deficient number, since it is larger than the sum of its proper divisors (2190197408342).

23308628065801 is an frugal number, since it uses more digits than its factorization.

23308628065801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 23308628065801 in words is "twenty-three trillion, three hundred eight billion, six hundred twenty-eight million, sixty-five thousand, eight hundred one".