23653430541 has 40 divisors (see below), whose sum is σ = 38089556120. Its totient is φ = 14541648768.

The previous prime is 23653430531. The next prime is 23653430599. The reversal of 23653430541 is 14503435632.

23653430541 is a `hidden beast` number, since 2 + 36 + 53 + 4 + 30 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 995654916 + 22657775625 = 31554^2 + 150525^2 .

It is not a de Polignac number, because 23653430541 - 2⁵ = 23653430509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23653430496 and 23653430505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23653430531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1115151 + ... + 1136163.

It is an arithmetic number, because the mean of its divisors is an integer number (952238903).

Almost surely, 2^23653430541 is an apocalyptic number.

It is an amenable number.

23653430541 is a deficient number, since it is larger than the sum of its proper divisors (14436125579).

23653430541 is a wasteful number, since it uses less digits than its factorization.

23653430541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22107 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 23653430541 in words is "twenty-three billion, six hundred fifty-three million, four hundred thirty thousand, five hundred forty-one".