23648856534081 has 27 divisors (see below), whose sum is σ = 34226243643267. Its totient is φ = 15735140961120.

The previous prime is 23648856534073. The next prime is 23648856534089. The reversal of 23648856534081 is 18043565884632.

The square root of 23648856534081 is 4863009.

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

23648856534081 is a `hidden beast` number, since 2 + 3 + 6 + 48 + 8 + 56 + 534 + 0 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23648856534073) and next prime (23648856534089).

It can be written as a sum of positive squares in only one way, i.e., 18757767681 + 23630098766400 = 136959^2 + 4861080^2 .

It is not a de Polignac number, because 23648856534081 - 2³ = 23648856534073 is a prime.

It is a super-2 number, since 2×23648856534081² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23648856534089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9380743101 + ... + 9380745621.

Almost surely, 2^{23648856534081} is an apocalyptic number.

23648856534081 is the 4863009-th square number.

23648856534081 is the 2431505-th centered octagonal number.

It is an amenable number.

23648856534081 is a deficient number, since it is larger than the sum of its proper divisors (10577387109186).

23648856534081 is an frugal number, since it uses more digits than its factorization.

23648856534081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 23648856534081 in words is "twenty-three trillion, six hundred forty-eight billion, eight hundred fifty-six million, five hundred thirty-four thousand, eighty-one".