114319296 has 224 divisors, whose sum is σ = 414202880. Its totient is φ = 30108672.

The previous prime is 114319291. The next prime is 114319313. The reversal of 114319296 is 692913411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×114319296³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114319296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114319291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156885 + ... + 157611.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 2^114319296 is an apocalyptic number.

114319296 is a gapful number since it is divisible by the number (16) 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 114319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207101440).

114319296 is an abundant number, since it is smaller than the sum of its proper divisors (299883584).

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

114319296 is a wasteful number, since it uses less digits than its factorization.

114319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 114319296 is about 10692.0202020011. The cubic root of 114319296 is about 485.3330280828. Note that the first 3 decimals are identical.

The spelling of 114319296 in words is "one hundred fourteen million, three hundred nineteen thousand, two hundred ninety-six".