27231916374144 has 48 divisors (see below), whose sum is σ = 78362676027870. Its totient is φ = 9077305457664.

The previous prime is 27231916374067. The next prime is 27231916374151. The reversal of 27231916374144 is 44147361913272.

27231916374144 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 191 + 6 + 37 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18667584360000 + 8564332014144 = 4320600^2 + 2926488^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×27231916374144³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11819406997 + ... + 11819409300.

Almost surely, 2^{27231916374144} is an apocalyptic number.

27231916374144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27231916374144 is an abundant number, since it is smaller than the sum of its proper divisors (51130759653726).

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

27231916374144 is a wasteful number, since it uses less digits than its factorization.

27231916374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23638816317 (or 23638816302 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 27231916374144 in words is "twenty-seven trillion, two hundred thirty-one billion, nine hundred sixteen million, three hundred seventy-four thousand, one hundred forty-four".