27493348961 has 16 divisors (see below), whose sum is σ = 29704290000. Its totient is φ = 25296261120.

The previous prime is 27493348933. The next prime is 27493348963. The reversal of 27493348961 is 16984339472.

It can be written as a sum of positive squares in 8 ways, for example, as 8681580625 + 18811768336 = 93175^2 + 137156^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27493348961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27493348897 and 27493348906.

It is not an unprimeable number, because it can be changed into a prime (27493348963) 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 15 ways as a sum of consecutive naturals, for example, 7483421 + ... + 7487093.

It is an arithmetic number, because the mean of its divisors is an integer number (1856518125).

Almost surely, 2^27493348961 is an apocalyptic number.

It is an amenable number.

27493348961 is a deficient number, since it is larger than the sum of its proper divisors (2210941039).

27493348961 is a wasteful number, since it uses less digits than its factorization.

27493348961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396.

The product of its digits is 7838208, while the sum is 56.

The spelling of 27493348961 in words is "twenty-seven billion, four hundred ninety-three million, three hundred forty-eight thousand, nine hundred sixty-one".