111000456 has 112 divisors (see below), whose sum is σ = 356755200. Its totient is φ = 31702752.

The previous prime is 111000437. The next prime is 111000457. The reversal of 111000456 is 654000111.

It is a super-2 number, since 2×111000456² = 24642202464415872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39465 + ... + 42183.

Almost surely, 2^111000456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178377600).

111000456 is an abundant number, since it is smaller than the sum of its proper divisors (245754744).

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

111000456 is an equidigital number, since it uses as much as digits as its factorization.

111000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 111000456 is about 10535.6753936328. The cubic root of 111000456 is about 480.5902114742.

Adding to 111000456 its reverse (654000111), we get a palindrome (765000567).

The spelling of 111000456 in words is "one hundred eleven million, four hundred fifty-six", and thus it is an aban number.