114124443444004 has 96 divisors (see below), whose sum is σ = 235877099028480. Its totient is φ = 47279431555200.

The previous prime is 114124443444001. The next prime is 114124443444041. The reversal of 114124443444004 is 400444344421411.

It is not an unprimeable number, because it can be changed into a prime (114124443444001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6057872817 + ... + 6057891655.

It is an arithmetic number, because the mean of its divisors is an integer number (2457053114880).

Almost surely, 2^{114124443444004} is an apocalyptic number.

114124443444004 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 114124443444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117938549514240).

114124443444004 is an abundant number, since it is smaller than the sum of its proper divisors (121752655584476).

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

114124443444004 is a wasteful number, since it uses less digits than its factorization.

114124443444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26369 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 114124443444004 its reverse (400444344421411), we get a palindrome (514568787865415).

The spelling of 114124443444004 in words is "one hundred fourteen trillion, one hundred twenty-four billion, four hundred forty-three million, four hundred forty-four thousand, four".