114989218344 has 1152 divisors, whose sum is σ = 449898209280. Its totient is φ = 25716787200.

The previous prime is 114989218319. The next prime is 114989218417. The reversal of 114989218344 is 443812989411.

114989218344 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 89 + 218 + 344 = 666.

It is a super-2 number, since 2×114989218344² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1074665539 + ... + 1074665645.

It is an arithmetic number, because the mean of its divisors is an integer number (390536640).

Almost surely, 2^114989218344 is an apocalyptic number.

114989218344 is a gapful number since it is divisible by the number (14) 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 114989218344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224949104640).

114989218344 is an abundant number, since it is smaller than the sum of its proper divisors (334908990936).

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

114989218344 is a wasteful number, since it uses less digits than its factorization.

114989218344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

It can be divided in two parts, 114989 and 218344, that added together give a palindrome (333333).

The spelling of 114989218344 in words is "one hundred fourteen billion, nine hundred eighty-nine million, two hundred eighteen thousand, three hundred forty-four".