27363245918121 has 45 divisors (see below), whose sum is σ = 41015471545741. Its totient is φ = 18180113953896.

The previous prime is 27363245918119. The next prime is 27363245918137. The reversal of 27363245918121 is 12181954236372.

The square root of 27363245918121 is 5230989.

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

27363245918121 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 3 + 2 + 459 + 181 + 2 + 1 = 666.

It is not a de Polignac number, because 27363245918121 - 2¹ = 27363245918119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27363245918171) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 16901324650 + ... + 16901326268.

Almost surely, 2^{27363245918121} is an apocalyptic number.

27363245918121 is the 5230989-th square number.

27363245918121 is the 2615495-th centered octagonal number.

It is an amenable number.

27363245918121 is a deficient number, since it is larger than the sum of its proper divisors (13652225627620).

27363245918121 is an frugal number, since it uses more digits than its factorization.

27363245918121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 1981 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 27363245918121 in words is "twenty-seven trillion, three hundred sixty-three billion, two hundred forty-five million, nine hundred eighteen thousand, one hundred twenty-one".