27824146461 has 20 divisors (see below), whose sum is σ = 41796691200. Its totient is φ = 18445793256.

The previous prime is 27824146453. The next prime is 27824146481. The reversal of 27824146461 is 16464142872.

27824146461 is a `hidden beast` number, since 27 + 8 + 24 + 146 + 461 = 666.

It is not a de Polignac number, because 27824146461 - 2³ = 27824146453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27824146481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 945021 + ... + 974018.

It is an arithmetic number, because the mean of its divisors is an integer number (2089834560).

Almost surely, 2^27824146461 is an apocalyptic number.

It is an amenable number.

27824146461 is a deficient number, since it is larger than the sum of its proper divisors (13972544739).

27824146461 is a wasteful number, since it uses less digits than its factorization.

27824146461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919230 (or 1919221 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 27824146461 in words is "twenty-seven billion, eight hundred twenty-four million, one hundred forty-six thousand, four hundred sixty-one".