111114444 has 48 divisors (see below), whose sum is σ = 297049088. Its totient is φ = 31667328.

The previous prime is 111114427. The next prime is 111114461. The reversal of 111114444 is 444411111.

It is an interprime number because it is at equal distance from previous prime (111114427) and next prime (111114461).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 111114444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37464 + ... + 40320.

Almost surely, 2^111114444 is an apocalyptic number.

111114444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111114444 is an abundant number, since it is smaller than the sum of its proper divisors (185934644).

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

111114444 is a wasteful number, since it uses less digits than its factorization.

111114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3332 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 111114444 is about 10541.0836255102. The cubic root of 111114444 is about 480.7546635786.

Adding to 111114444 its reverse (444411111), we get a palindrome (555525555).

The spelling of 111114444 in words is "one hundred eleven million, one hundred fourteen thousand, four hundred forty-four".