114314312112 has 480 divisors, whose sum is σ = 401136468480. Its totient is φ = 27239546880.

The previous prime is 114314312093. The next prime is 114314312131. The reversal of 114314312112 is 211213413411.

It is an interprime number because it is at equal distance from previous prime (114314312093) and next prime (114314312131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123050464 + ... + 123051392.

It is an arithmetic number, because the mean of its divisors is an integer number (835700976).

Almost surely, 2^114314312112 is an apocalyptic number.

114314312112 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 114314312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200568234240).

114314312112 is an abundant number, since it is smaller than the sum of its proper divisors (286822156368).

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

114314312112 is a wasteful number, since it uses less digits than its factorization.

114314312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1162 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 114314312112 its reverse (211213413411), we get a palindrome (325527725523).

It can be divided in two parts, 114314 and 312112, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 114314312112 in words is "one hundred fourteen billion, three hundred fourteen million, three hundred twelve thousand, one hundred twelve".