27345034148701 has 2 divisors, whose sum is σ = 27345034148702. Its totient is φ = 27345034148700.

The previous prime is 27345034148581. The next prime is 27345034148749. The reversal of 27345034148701 is 10784143054372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23580483488676 + 3764550660025 = 4855974^2 + 1940245^2 .

It is a cyclic number.

It is not a de Polignac number, because 27345034148701 - 2⁹ = 27345034148189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27345034148791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13672517074350 + 13672517074351.

It is an arithmetic number, because the mean of its divisors is an integer number (13672517074351).

Almost surely, 2^{27345034148701} is an apocalyptic number.

It is an amenable number.

27345034148701 is a deficient number, since it is larger than the sum of its proper divisors (1).

27345034148701 is an equidigital number, since it uses as much as digits as its factorization.

27345034148701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 27345034148701 in words is "twenty-seven trillion, three hundred forty-five billion, thirty-four million, one hundred forty-eight thousand, seven hundred one".