111933414 has 80 divisors (see below), whose sum is σ = 261429696. Its totient is φ = 35769600.

The previous prime is 111933413. The next prime is 111933421. The reversal of 111933414 is 414339111.

111933414 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111933413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464334 + ... + 464574.

Almost surely, 2^111933414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111933414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130714848).

111933414 is an abundant number, since it is smaller than the sum of its proper divisors (149496282).

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

111933414 is a wasteful number, since it uses less digits than its factorization.

111933414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 111933414 is about 10579.8588837470. The cubic root of 111933414 is about 481.9329090574.

The spelling of 111933414 in words is "one hundred eleven million, nine hundred thirty-three thousand, four hundred fourteen".