27611034345 has 48 divisors (see below), whose sum is σ = 48201229440. Its totient is φ = 14620833792.

The previous prime is 27611034317. The next prime is 27611034419. The reversal of 27611034345 is 54343011672.

27611034345 is a `hidden beast` number, since 2 + 7 + 611 + 0 + 3 + 4 + 34 + 5 = 666.

It is not a de Polignac number, because 27611034345 - 2¹¹ = 27611032297 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9144246 + ... + 9147264.

It is an arithmetic number, because the mean of its divisors is an integer number (1004192280).

Almost surely, 2^27611034345 is an apocalyptic number.

It is an amenable number.

27611034345 is a deficient number, since it is larger than the sum of its proper divisors (20590195095).

27611034345 is a wasteful number, since it uses less digits than its factorization.

27611034345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27611034345 in words is "twenty-seven billion, six hundred eleven million, thirty-four thousand, three hundred forty-five".