114301144401 has 16 divisors (see below), whose sum is σ = 153555222528. Its totient is φ = 75625768400.

The previous prime is 114301144387. The next prime is 114301144409. The reversal of 114301144401 is 104441103411.

It is a cyclic number.

It is not a de Polignac number, because 114301144401 - 2⁶ = 114301144337 is a prime.

It is a super-2 number, since 2×114301144401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114301144409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15550 + ... + 478376.

It is an arithmetic number, because the mean of its divisors is an integer number (9597201408).

Almost surely, 2^114301144401 is an apocalyptic number.

It is an amenable number.

114301144401 is a deficient number, since it is larger than the sum of its proper divisors (39254078127).

114301144401 is a wasteful number, since it uses less digits than its factorization.

114301144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463452.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114301144401 its reverse (104441103411), we get a palindrome (218742247812).

The spelling of 114301144401 in words is "one hundred fourteen billion, three hundred one million, one hundred forty-four thousand, four hundred one".