27504613347345 has 40 divisors (see below), whose sum is σ = 49326316611264. Its totient is φ = 14662655906976.

The previous prime is 27504613347293. The next prime is 27504613347347. The reversal of 27504613347345 is 54374331640572.

27504613347345 is a `hidden beast` number, since 2 + 7 + 504 + 61 + 3 + 3 + 4 + 73 + 4 + 5 = 666.

It is not a de Polignac number, because 27504613347345 - 2¹⁷ = 27504613216273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27504613347291 and 27504613347300.

It is not an unprimeable number, because it can be changed into a prime (27504613347347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14060389 + ... + 15896658.

Almost surely, 2^{27504613347345} is an apocalyptic number.

It is an amenable number.

27504613347345 is a deficient number, since it is larger than the sum of its proper divisors (21821703263919).

27504613347345 is a wasteful number, since it uses less digits than its factorization.

27504613347345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29959331 (or 29959322 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 27504613347345 in words is "twenty-seven trillion, five hundred four billion, six hundred thirteen million, three hundred forty-seven thousand, three hundred forty-five".