111729318303681 has 243 divisors, whose sum is σ = 188657853718971. Its totient is φ = 63676968496128.

The previous prime is 111729318303661. The next prime is 111729318303727. The reversal of 111729318303681 is 186303813927111.

The square root of 111729318303681 is 10570209.

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

111729318303681 is a `hidden beast` number, since 1 + 1 + 17 + 2 + 9 + 318 + 303 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 104664992209281 + 7064326094400 = 10230591^2 + 2657880^2 .

It is not a de Polignac number, because 111729318303681 - 2²⁹ = 111728781432769 is a prime.

It is a super-2 number, since 2×111729318303681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111729318303641) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 749861196595 + ... + 749861196743.

Almost surely, 2^{111729318303681} is an apocalyptic number.

111729318303681 is the 10570209-th square number.

111729318303681 is the 5285105-th centered octagonal number.

It is an amenable number.

111729318303681 is a deficient number, since it is larger than the sum of its proper divisors (76928535415290).

111729318303681 is a wasteful number, since it uses less digits than its factorization.

111729318303681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 111729318303681 in words is "one hundred eleven trillion, seven hundred twenty-nine billion, three hundred eighteen million, three hundred three thousand, six hundred eighty-one".