27114663417165 has 48 divisors (see below), whose sum is σ = 47282765257728. Its totient is φ = 14373773968128.

The previous prime is 27114663417031. The next prime is 27114663417197. The reversal of 27114663417165 is 56171436641172.

It is a happy number.

27114663417165 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 4 + 6 + 63 + 417 + 165 = 666.

It is not a de Polignac number, because 27114663417165 - 2⁸ = 27114663416909 is a prime.

It is a super-2 number, since 2×27114663417165² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 153164932 + ... + 153341858.

It is an arithmetic number, because the mean of its divisors is an integer number (985057609536).

Almost surely, 2^{27114663417165} is an apocalyptic number.

It is an amenable number.

27114663417165 is a deficient number, since it is larger than the sum of its proper divisors (20168101840563).

27114663417165 is a wasteful number, since it uses less digits than its factorization.

27114663417165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197498 (or 197495 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27114663417165 in words is "twenty-seven trillion, one hundred fourteen billion, six hundred sixty-three million, four hundred seventeen thousand, one hundred sixty-five".