111695655681 has 27 divisors (see below), whose sum is σ = 163099261507. Its totient is φ = 73659663600.

The previous prime is 111695655649. The next prime is 111695655689. The reversal of 111695655681 is 186556596111.

The square root of 111695655681 is 334209.

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

111695655681 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 9 + 5 + 6 + 556 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107315863281 + 4379792400 = 327591^2 + 66180^2 .

It is not a de Polignac number, because 111695655681 - 2⁵ = 111695655649 is a prime.

It is a super-2 number, since 2×111695655681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111695655689) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 101264776 + ... + 101265878.

Almost surely, 2^111695655681 is an apocalyptic number.

111695655681 is the 334209-th square number.

111695655681 is the 167105-th centered octagonal number.

It is an amenable number.

111695655681 is a deficient number, since it is larger than the sum of its proper divisors (51403605826).

111695655681 is an frugal number, since it uses more digits than its factorization.

111695655681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 54.

It can be divided in two parts, 111695 and 655681, that added together give a square (767376 = 876²).

The spelling of 111695655681 in words is "one hundred eleven billion, six hundred ninety-five million, six hundred fifty-five thousand, six hundred eighty-one".