111492864 has 216 divisors, whose sum is σ = 380936192. Its totient is φ = 30689280.

The previous prime is 111492863. The next prime is 111492917. The reversal of 111492864 is 468294111.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111492863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499857 + ... + 500079.

Almost surely, 2^111492864 is an apocalyptic number.

111492864 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 111492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468096).

111492864 is an abundant number, since it is smaller than the sum of its proper divisors (269443328).

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

111492864 is a wasteful number, since it uses less digits than its factorization.

111492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 111492864 is about 10559.0181361716. The cubic root of 111492864 is about 481.2998103501.

The spelling of 111492864 in words is "one hundred eleven million, four hundred ninety-two thousand, eight hundred sixty-four".