111111404111111 has 8 divisors (see below), whose sum is σ = 112953674055744. Its totient is φ = 109269804215520.

The previous prime is 111111404111107. The next prime is 111111404111161.

It is a happy number.

111111404111111 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111111404111111 - 2² = 111111404111107 is a prime.

It is a super-2 number, since 2×111111404111111² (a number of 29 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 (111111404111161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167177855 + ... + 167841168.

It is an arithmetic number, because the mean of its divisors is an integer number (14119209256968).

Almost surely, 2^{111111404111111} is an apocalyptic number.

111111404111111 is a deficient number, since it is larger than the sum of its proper divisors (1842269944633).

111111404111111 is an equidigital number, since it uses as much as digits as its factorization.

111111404111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335024521.

The product of its (nonzero) digits is 16, while the sum is 20.

It can be divided in two parts, 11111140 and 4111111, that added together give a palindrome (15222251).

The spelling of 111111404111111 in words is "one hundred eleven trillion, one hundred eleven billion, four hundred four million, one hundred eleven thousand, one hundred eleven".