114114431000224 has 24 divisors (see below), whose sum is σ = 226978897234068. Its totient is φ = 56468996782080.

The previous prime is 114114431000201. The next prime is 114114431000239. The reversal of 114114431000224 is 422000134411411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99870841731600 + 14243589268624 = 9993540^2 + 3774068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114114431000192 and 114114431000201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18381831787 + ... + 18381837994.

Almost surely, 2^{114114431000224} is an apocalyptic number.

It is an amenable number.

114114431000224 is a deficient number, since it is larger than the sum of its proper divisors (112864466233844).

114114431000224 is an equidigital number, since it uses as much as digits as its factorization.

114114431000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36763669888 (or 36763669880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 114114431000224 its reverse (422000134411411), we get a palindrome (536114565411635).

The spelling of 114114431000224 in words is "one hundred fourteen trillion, one hundred fourteen billion, four hundred thirty-one million, two hundred twenty-four", and thus it is an aban number.