114111410112 has 252 divisors, whose sum is σ = 380952664560. Its totient is φ = 32562819072.

The previous prime is 114111410107. The next prime is 114111410131. The reversal of 114111410112 is 211014111411.

It is a happy number.

114111410112 is a `hidden beast` number, since 1 + 1 + 411 + 141 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28476013 + ... + 28480019.

Almost surely, 2^114111410112 is an apocalyptic number.

114111410112 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 114111410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190476332280).

114111410112 is an abundant number, since it is smaller than the sum of its proper divisors (266841254448).

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

114111410112 is a wasteful number, since it uses less digits than its factorization.

114111410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 114111410112 its reverse (211014111411), we get a palindrome (325125521523).

The spelling of 114111410112 in words is "one hundred fourteen billion, one hundred eleven million, four hundred ten thousand, one hundred twelve".