27314341509 has 48 divisors (see below), whose sum is σ = 45649251648. Its totient is φ = 14399578368.

The previous prime is 27314341493. The next prime is 27314341511. The reversal of 27314341509 is 90514341372.

It is not a de Polignac number, because 27314341509 - 2⁴ = 27314341493 is a prime.

It is a super-3 number, since 3×27314341509³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27314341559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5304274 + ... + 5309420.

It is an arithmetic number, because the mean of its divisors is an integer number (951026076).

Almost surely, 2^27314341509 is an apocalyptic number.

It is an amenable number.

27314341509 is a deficient number, since it is larger than the sum of its proper divisors (18334910139).

27314341509 is a wasteful number, since it uses less digits than its factorization.

27314341509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 27314341509 in words is "twenty-seven billion, three hundred fourteen million, three hundred forty-one thousand, five hundred nine".