114444412000000 has 252 divisors, whose sum is σ = 297963958825008. Its totient is φ = 43787392000000.

The previous prime is 114444411999971. The next prime is 114444412000001. The reversal of 114444412000000 is 214444411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444412000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 91378020 + ... + 92621980.

It is an arithmetic number, because the mean of its divisors is an integer number (1182396662004).

Almost surely, 2^{114444412000000} is an apocalyptic number.

114444412000000 is a gapful number since it is divisible by the number (10) 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 114444412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148981979412504).

114444412000000 is an abundant number, since it is smaller than the sum of its proper divisors (183519546825008).

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

114444412000000 is an frugal number, since it uses more digits than its factorization.

114444412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244030 (or 1243991 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 114444412000000 its reverse (214444411), we get a palindrome (114444626444411).

The spelling of 114444412000000 in words is "one hundred fourteen trillion, four hundred forty-four billion, four hundred twelve million", and thus it is an aban number.