114312044314433 has 32 divisors (see below), whose sum is σ = 139892316192000. Its totient is φ = 91174856914944.

The previous prime is 114312044314427. The next prime is 114312044314463. The reversal of 114312044314433 is 334413440213411.

It is a cyclic number.

It is not a de Polignac number, because 114312044314433 - 2²⁸ = 114311775878977 is a prime.

It is a super-3 number, since 3×114312044314433³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114312044314463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137660918 + ... + 138488816.

It is an arithmetic number, because the mean of its divisors is an integer number (4371634881000).

Almost surely, 2^{114312044314433} is an apocalyptic number.

It is an amenable number.

114312044314433 is a deficient number, since it is larger than the sum of its proper divisors (25580271877567).

114312044314433 is a wasteful number, since it uses less digits than its factorization.

114312044314433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841049.

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 114312044314433 its reverse (334413440213411), we get a palindrome (448725484527844).

The spelling of 114312044314433 in words is "one hundred fourteen trillion, three hundred twelve billion, forty-four million, three hundred fourteen thousand, four hundred thirty-three".