114408735360000 has 880 divisors, whose sum is σ = 395310873027840. Its totient is φ = 29386506240000.

The previous prime is 114408735359957. The next prime is 114408735360037. The reversal of 114408735360000 is 63537804411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6218870802 + ... + 6218889198.

It is an arithmetic number, because the mean of its divisors is an integer number (449216901168).

Almost surely, 2^{114408735360000} is an apocalyptic number.

114408735360000 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 114408735360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197655436513920).

114408735360000 is an abundant number, since it is smaller than the sum of its proper divisors (280902137667840).

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

114408735360000 is an equidigital number, since it uses as much as digits as its factorization.

114408735360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18560 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 114408735360000 in words is "one hundred fourteen trillion, four hundred eight billion, seven hundred thirty-five million, three hundred sixty thousand".