114352433530401 has 32 divisors (see below), whose sum is σ = 175086386726400. Its totient is φ = 65656404247680.

The previous prime is 114352433530399. The next prime is 114352433530417. The reversal of 114352433530401 is 104035334253411.

It is not a de Polignac number, because 114352433530401 - 2¹ = 114352433530399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114352433530401.

It is not an unprimeable number, because it can be changed into a prime (114352433510401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 92545285 + ... + 93772781.

It is an arithmetic number, because the mean of its divisors is an integer number (5471449585200).

Almost surely, 2^{114352433530401} is an apocalyptic number.

114352433530401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114352433530401 is a deficient number, since it is larger than the sum of its proper divisors (60733953195999).

114352433530401 is a wasteful number, since it uses less digits than its factorization.

114352433530401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376109.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 114352433530401 its reverse (104035334253411), we get a palindrome (218387767783812).

The spelling of 114352433530401 in words is "one hundred fourteen trillion, three hundred fifty-two billion, four hundred thirty-three million, five hundred thirty thousand, four hundred one".