114344315200000 has 240 divisors, whose sum is σ = 285990357086280. Its totient is φ = 45669335040000.

The previous prime is 114344315199967. The next prime is 114344315200081. The reversal of 114344315200000 is 2513443411.

It can be written as a sum of positive squares in 12 ways, for example, as 75561712005376 + 38782603194624 = 8692624^2 + 6227568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076746906 + ... + 1076853094.

Almost surely, 2^{114344315200000} is an apocalyptic number.

114344315200000 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 114344315200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142995178543140).

114344315200000 is an abundant number, since it is smaller than the sum of its proper divisors (171646041886280).

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

114344315200000 is an frugal number, since it uses more digits than its factorization.

114344315200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106905 (or 106869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 114344315200000 its reverse (2513443411), we get a palindrome (114346828643411).

The spelling of 114344315200000 in words is "one hundred fourteen trillion, three hundred forty-four billion, three hundred fifteen million, two hundred thousand".