27314132112 has 60 divisors (see below), whose sum is σ = 77142977340. Its totient is φ = 9021176064.

The previous prime is 27314131987. The next prime is 27314132123. The reversal of 27314132112 is 21123141372.

27314132112 is a `hidden beast` number, since 2 + 7 + 31 + 413 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11413930896 + 15900201216 = 106836^2 + 126096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854403 + ... + 885794.

It is an arithmetic number, because the mean of its divisors is an integer number (1285716289).

Almost surely, 2^27314132112 is an apocalyptic number.

It is an amenable number.

27314132112 is an abundant number, since it is smaller than the sum of its proper divisors (49828845228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27314132112 is a wasteful number, since it uses less digits than its factorization.

27314132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740320 (or 1740311 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

Adding to 27314132112 its reverse (21123141372), we get a palindrome (48437273484).

The spelling of 27314132112 in words is "twenty-seven billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred twelve".