111053848927681 has 45 divisors (see below), whose sum is σ = 127686460609729. Its totient is φ = 96515240947400.

The previous prime is 111053848927649. The next prime is 111053848927699. The reversal of 111053848927681 is 186729848350111.

The square root of 111053848927681 is 10538209.

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

It is not a de Polignac number, because 111053848927681 - 2⁵ = 111053848927649 is a prime.

It is a super-2 number, since 2×111053848927681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111053848927381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61321837266 + ... + 61321839076.

It is a 1-persistent number, because it is pandigital, but 2⋅111053848927681 = 222107697855362 is not.

Almost surely, 2^{111053848927681} is an apocalyptic number.

111053848927681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111053848927681 is the 10538209-th square number.

111053848927681 is the 5269105-th centered octagonal number.

It is an amenable number.

111053848927681 is a deficient number, since it is larger than the sum of its proper divisors (16632611682048).

111053848927681 is an frugal number, since it uses more digits than its factorization.

111053848927681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 64.

The spelling of 111053848927681 in words is "one hundred eleven trillion, fifty-three billion, eight hundred forty-eight million, nine hundred twenty-seven thousand, six hundred eighty-one".