111391918652169 has 45 divisors (see below), whose sum is σ = 166708046004357. Its totient is φ = 74124179562816.

The previous prime is 111391918652143. The next prime is 111391918652239. The reversal of 111391918652169 is 961256819193111.

The square root of 111391918652169 is 10554237.

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

111391918652169 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 91 + 9 + 18 + 6 + 521 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7106729564025 + 104285189088144 = 2665845^2 + 10212012^2 .

It is not a de Polignac number, because 111391918652169 - 2¹⁹ = 111391918127881 is a prime.

It is a super-2 number, since 2×111391918652169² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111391918652869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 101542313629 + ... + 101542314725.

Almost surely, 2^{111391918652169} is an apocalyptic number.

111391918652169 is the 10554237-th square number.

111391918652169 is the 5277119-th centered octagonal number.

It is an amenable number.

111391918652169 is a deficient number, since it is larger than the sum of its proper divisors (55316127352188).

111391918652169 is an frugal number, since it uses more digits than its factorization.

111391918652169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 2169 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 63.

The spelling of 111391918652169 in words is "one hundred eleven trillion, three hundred ninety-one billion, nine hundred eighteen million, six hundred fifty-two thousand, one hundred sixty-nine".