27353328345 has 128 divisors (see below), whose sum is σ = 57011834880. Its totient is φ = 12182607360.

The previous prime is 27353328319. The next prime is 27353328367. The reversal of 27353328345 is 54382335372.

27353328345 is a `hidden beast` number, since 2 + 73 + 533 + 2 + 8 + 3 + 45 = 666.

It is not a de Polignac number, because 27353328345 - 2⁶ = 27353328281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27353328345.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25071250 + ... + 25072340.

It is an arithmetic number, because the mean of its divisors is an integer number (445404960).

Almost surely, 2^27353328345 is an apocalyptic number.

It is an amenable number.

27353328345 is an abundant number, since it is smaller than the sum of its proper divisors (29658506535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27353328345 is a wasteful number, since it uses less digits than its factorization.

27353328345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1766 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 27353328345 in words is "twenty-seven billion, three hundred fifty-three million, three hundred twenty-eight thousand, three hundred forty-five".