114044133024 has 144 divisors (see below), whose sum is σ = 326078592840. Its totient is φ = 37808363520.

The previous prime is 114044132957. The next prime is 114044133053. The reversal of 114044133024 is 420331440411.

114044133024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84436736400 + 29607396624 = 290580^2 + 172068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49389982 + ... + 49392290.

Almost surely, 2^114044133024 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 114044133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163039296420).

114044133024 is an abundant number, since it is smaller than the sum of its proper divisors (212034459816).

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

114044133024 is a wasteful number, since it uses less digits than its factorization.

114044133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114044133024 its reverse (420331440411), we get a palindrome (534375573435).

The spelling of 114044133024 in words is "one hundred fourteen billion, forty-four million, one hundred thirty-three thousand, twenty-four".