23461355241 has 81 divisors (see below), whose sum is σ = 36967903479. Its totient is φ = 14888221200.

The previous prime is 23461355231. The next prime is 23461355243. The reversal of 23461355241 is 14255316432.

The square root of 23461355241 is 153171.

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

23461355241 is a `hidden beast` number, since 2 + 3 + 4 + 61 + 3 + 552 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762919641 + 22698435600 = 27621^2 + 150660^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 23461355241 - 2²⁹ = 22924484329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23461355196 and 23461355205.

It is not an unprimeable number, because it can be changed into a prime (23461355243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 384612351 + ... + 384612411.

Almost surely, 2^23461355241 is an apocalyptic number.

23461355241 is the 153171-st square number.

23461355241 is the 76586-th centered octagonal number.

It is an amenable number.

23461355241 is a deficient number, since it is larger than the sum of its proper divisors (13506548238).

23461355241 is an frugal number, since it uses more digits than its factorization.

23461355241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 95 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Multiplying 23461355241 by its sum of digits (36), we get a square (844608788676 = 919026²).

The spelling of 23461355241 in words is "twenty-three billion, four hundred sixty-one million, three hundred fifty-five thousand, two hundred forty-one".