114121242433344 has 224 divisors, whose sum is σ = 305660620210176. Its totient is φ = 37574030868480.

The previous prime is 114121242433337. The next prime is 114121242433361. The reversal of 114121242433344 is 443334242121411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32356460509 + ... + 32356464035.

It is an arithmetic number, because the mean of its divisors is an integer number (1364556340224).

Almost surely, 2^{114121242433344} 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 114121242433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152830310105088).

114121242433344 is an abundant number, since it is smaller than the sum of its proper divisors (191539377776832).

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

114121242433344 is a wasteful number, since it uses less digits than its factorization.

114121242433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6563 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 114121242433344 its reverse (443334242121411), we get a palindrome (557455484554755).

The spelling of 114121242433344 in words is "one hundred fourteen trillion, one hundred twenty-one billion, two hundred forty-two million, four hundred thirty-three thousand, three hundred forty-four".