114416934912 has 1176 divisors, whose sum is σ = 440932586256. Its totient is φ = 29429858304.

The previous prime is 114416934901. The next prime is 114416934913. The reversal of 114416934912 is 219439614411.

It is a happy number.

114416934912 is a `hidden beast` number, since 1 + 144 + 16 + 9 + 3 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114416934913) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4974649333 + ... + 4974649355.

Almost surely, 2^114416934912 is an apocalyptic number.

114416934912 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 114416934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220466293128).

114416934912 is an abundant number, since it is smaller than the sum of its proper divisors (326515651344).

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

114416934912 is an frugal number, since it uses more digits than its factorization.

114416934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

Adding to 114416934912 its product of digits (186624), we get a square (114417121536 = 338256²).

The spelling of 114416934912 in words is "one hundred fourteen billion, four hundred sixteen million, nine hundred thirty-four thousand, nine hundred twelve".