111564414 has 48 divisors (see below), whose sum is σ = 261333072. Its totient is φ = 34193664.

The previous prime is 111564407. The next prime is 111564419. The reversal of 111564414 is 414465111.

111564414 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 644 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111564419) 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, 71062 + ... + 72614.

It is an arithmetic number, because the mean of its divisors is an integer number (5444439).

Almost surely, 2^111564414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111564414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130666536).

111564414 is an abundant number, since it is smaller than the sum of its proper divisors (149768658).

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

111564414 is a wasteful number, since it uses less digits than its factorization.

111564414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1878 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 111564414 is about 10562.4056918867. The cubic root of 111564414 is about 481.4027456000.

The spelling of 111564414 in words is "one hundred eleven million, five hundred sixty-four thousand, four hundred fourteen".