23645520441 has 9 divisors (see below), whose sum is σ = 34155306991. Its totient is φ = 15763372752.

The previous prime is 23645520433. The next prime is 23645520467. The reversal of 23645520441 is 14402554632.

The square root of 23645520441 is 153771.

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

23645520441 is a `hidden beast` number, since 2 + 3 + 64 + 552 + 0 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1831412025 + 21814108416 = 42795^2 + 147696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 23645520441 - 2³ = 23645520433 is a prime.

It is a super-3 number, since 3×23645520441³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23645520396 and 23645520405.

It is not an unprimeable number, because it can be changed into a prime (23645520401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 435685 + ... + 486941.

Almost surely, 2^23645520441 is an apocalyptic number.

23645520441 is the 153771-st square number.

23645520441 is the 76886-th centered octagonal number.

It is an amenable number.

23645520441 is a deficient number, since it is larger than the sum of its proper divisors (10509786550).

23645520441 is an frugal number, since it uses more digits than its factorization.

23645520441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102520 (or 51260 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 23645520441 by its sum of digits (36), we get a square (851238735876 = 922626²).

The spelling of 23645520441 in words is "twenty-three billion, six hundred forty-five million, five hundred twenty thousand, four hundred forty-one".