12461541417 has 64 divisors (see below), whose sum is σ = 20724121600. Its totient is φ = 7348553280.

The previous prime is 12461541409. The next prime is 12461541437. The reversal of 12461541417 is 71414516421.

12461541417 is a `hidden beast` number, since 1 + 2 + 461 + 54 + 141 + 7 = 666.

It is not a de Polignac number, because 12461541417 - 2³ = 12461541409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12461541437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115184 + ... + 1126302.

It is an arithmetic number, because the mean of its divisors is an integer number (323814400).

Almost surely, 2^12461541417 is an apocalyptic number.

It is an amenable number.

12461541417 is a deficient number, since it is larger than the sum of its proper divisors (8262580183).

12461541417 is a wasteful number, since it uses less digits than its factorization.

12461541417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11269 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

It can be divided in two parts, 12461 and 541417, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 12461541417 in words is "twelve billion, four hundred sixty-one million, five hundred forty-one thousand, four hundred seventeen".