114414400000 has 240 divisors, whose sum is σ = 292559275008. Its totient is φ = 44674560000.

The previous prime is 114414399989. The next prime is 114414400049. The reversal of 114414400000 is 4414411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68799169 + ... + 68800831.

Almost surely, 2^114414400000 is an apocalyptic number.

114414400000 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 114414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146279637504).

114414400000 is an abundant number, since it is smaller than the sum of its proper divisors (178144875008).

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

114414400000 is an frugal number, since it uses more digits than its factorization.

114414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 114414400000 its reverse (4414411), we get a palindrome (114418814411).

The spelling of 114414400000 in words is "one hundred fourteen billion, four hundred fourteen million, four hundred thousand".