114611112 has 160 divisors (see below), whose sum is σ = 400403520. Its totient is φ = 29756160.

The previous prime is 114611083. The next prime is 114611117. The reversal of 114611112 is 211116411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (114611117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48748 + ... + 51044.

It is an arithmetic number, because the mean of its divisors is an integer number (2502522).

Almost surely, 2^114611112 is an apocalyptic number.

114611112 is a gapful number since it is divisible by the number (12) 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 114611112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200201760).

114611112 is an abundant number, since it is smaller than the sum of its proper divisors (285792408).

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

114611112 is a wasteful number, since it uses less digits than its factorization.

114611112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2320 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 114611112 is about 10705.6579433494. The cubic root of 114611112 is about 485.7456373567.

Adding to 114611112 its reverse (211116411), we get a palindrome (325727523).

The spelling of 114611112 in words is "one hundred fourteen million, six hundred eleven thousand, one hundred twelve".