114511444344 has 96 divisors (see below), whose sum is σ = 338842661040. Its totient is φ = 34647782400.

The previous prime is 114511444343. The next prime is 114511444351. The reversal of 114511444344 is 443444115411.

114511444344 is a `hidden beast` number, since 114 + 51 + 14 + 443 + 44 = 666.

It is a super-2 number, since 2×114511444344² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114511444299 and 114511444308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511444343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414144 + ... + 632880.

Almost surely, 2^114511444344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114511444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169421330520).

114511444344 is an abundant number, since it is smaller than the sum of its proper divisors (224331216696).

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

114511444344 is a wasteful number, since it uses less digits than its factorization.

114511444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219421 (or 219414 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 114511444344 its reverse (443444115411), we get a palindrome (557955559755).

It can be divided in two parts, 114511 and 444344, that added together give a palindrome (558855).

The spelling of 114511444344 in words is "one hundred fourteen billion, five hundred eleven million, four hundred forty-four thousand, three hundred forty-four".