27912508666441 has 63 divisors (see below), whose sum is σ = 33173973609543. Its totient is φ = 23485432209120.

The previous prime is 27912508666411. The next prime is 27912508666531. The reversal of 27912508666441 is 14466680521972.

The square root of 27912508666441 is 5283229.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15844499665225 + 12068009001216 = 3980515^2 + 3473904^2 .

It is not a de Polignac number, because 27912508666441 - 2⁹ = 27912508665929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27912508666441.

It is not an unprimeable number, because it can be changed into a prime (27912508666411) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 132286770826 + ... + 132286771036.

Almost surely, 2^{27912508666441} is an apocalyptic number.

27912508666441 is the 5283229-th square number.

27912508666441 is the 2641615-th centered octagonal number.

It is an amenable number.

27912508666441 is a deficient number, since it is larger than the sum of its proper divisors (5261464943102).

27912508666441 is an frugal number, since it uses more digits than its factorization.

27912508666441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 27912508666441 in words is "twenty-seven trillion, nine hundred twelve billion, five hundred eight million, six hundred sixty-six thousand, four hundred forty-one".