114141944448 has 512 divisors, whose sum is σ = 402542592000. Its totient is φ = 31543188480.

The previous prime is 114141944431. The next prime is 114141944471. The reversal of 114141944448 is 844449141411.

114141944448 is a `hidden beast` number, since 1 + 1 + 4 + 14 + 194 + 4 + 448 = 666.

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 63 ways as a sum of consecutive naturals, for example, 60745173 + ... + 60747051.

It is an arithmetic number, because the mean of its divisors is an integer number (786216000).

Almost surely, 2^114141944448 is an apocalyptic number.

114141944448 is a gapful number since it is divisible by the number (18) 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 114141944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201271296000).

114141944448 is an abundant number, since it is smaller than the sum of its proper divisors (288400647552).

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

114141944448 is an frugal number, since it uses more digits than its factorization.

114141944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1922 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 114141944448 in words is "one hundred fourteen billion, one hundred forty-one million, nine hundred forty-four thousand, four hundred forty-eight".