111488664 has 64 divisors (see below), whose sum is σ = 319852800. Its totient is φ = 31722624.

The previous prime is 111488633. The next prime is 111488677. The reversal of 111488664 is 466884111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43959 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (4997700).

Almost surely, 2^111488664 is an apocalyptic number.

111488664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111488664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159926400).

111488664 is an abundant number, since it is smaller than the sum of its proper divisors (208364136).

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

111488664 is a wasteful number, since it uses less digits than its factorization.

111488664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 111488664 is about 10558.8192521702. The cubic root of 111488664 is about 481.2937666611.

It can be divided in two parts, 11 and 1488664, that added together give a triangular number (1488675 = T₁₇₂₅).

The spelling of 111488664 in words is "one hundred eleven million, four hundred eighty-eight thousand, six hundred sixty-four".