114441021435200 has 42 divisors (see below), whose sum is σ = 281596438372926. Its totient is φ = 45776408573440.

The previous prime is 114441021435109. The next prime is 114441021435227. The reversal of 114441021435200 is 2534120144411.

114441021435200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9309137983744 + 105131883451456 = 3051088^2 + 10253384^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35762817599 + ... + 35762820798.

Almost surely, 2^{114441021435200} is an apocalyptic number.

114441021435200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114441021435200 is an abundant number, since it is smaller than the sum of its proper divisors (167155416937726).

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

114441021435200 is an equidigital number, since it uses as much as digits as its factorization.

114441021435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71525638419 (or 71525638404 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 114441021435200 its reverse (2534120144411), we get a palindrome (116975141579611).

The spelling of 114441021435200 in words is "one hundred fourteen trillion, four hundred forty-one billion, twenty-one million, four hundred thirty-five thousand, two hundred".