111181968 has 30 divisors (see below), whose sum is σ = 311155494. Its totient is φ = 37060608.

The previous prime is 111181963. The next prime is 111181991. The reversal of 111181968 is 869181111.

It can be written as a sum of positive squares in only one way, i.e., 109244304 + 1937664 = 10452^2 + 1392^2 .

It is a super-2 number, since 2×111181968² = 24722860016706048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111181963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 385905 + ... + 386192.

Almost surely, 2^111181968 is an apocalyptic number.

111181968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

111181968 is an abundant number, since it is smaller than the sum of its proper divisors (199973526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111181968 is a wasteful number, since it uses less digits than its factorization.

111181968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772111 (or 772102 counting only the distinct ones).

The product of its digits is 3456, while the sum is 36.

The square root of 111181968 is about 10544.2860355740. The cubic root of 111181968 is about 480.8520283711.

The spelling of 111181968 in words is "one hundred eleven million, one hundred eighty-one thousand, nine hundred sixty-eight".