111727617661 has 48 divisors (see below), whose sum is σ = 130692022272. Its totient is φ = 95239758240.

The previous prime is 111727617653. The next prime is 111727617671. The reversal of 111727617661 is 166716727111.

It is not a de Polignac number, because 111727617661 - 2³ = 111727617653 is a prime.

It is a super-2 number, since 2×111727617661² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111727617671) 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 47 ways as a sum of consecutive naturals, for example, 41579460 + ... + 41582146.

It is an arithmetic number, because the mean of its divisors is an integer number (2722750464).

Almost surely, 2^111727617661 is an apocalyptic number.

111727617661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111727617661 is a deficient number, since it is larger than the sum of its proper divisors (18964404611).

111727617661 is a wasteful number, since it uses less digits than its factorization.

111727617661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3011 counting only the distinct ones).

The product of its digits is 148176, while the sum is 46.

The spelling of 111727617661 in words is "one hundred eleven billion, seven hundred twenty-seven million, six hundred seventeen thousand, six hundred sixty-one".