114233321314032 has 80 divisors (see below), whose sum is σ = 299524745082240. Its totient is φ = 37511169515776.

The previous prime is 114233321314031. The next prime is 114233321314039. The reversal of 114233321314032 is 230413123332411.

It is a junction number, because it is equal to n+sod(n) for n = 114233321313984 and 114233321314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114233321314031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61208283 + ... + 63046970.

It is an arithmetic number, because the mean of its divisors is an integer number (3744059313528).

Almost surely, 2^{114233321314032} is an apocalyptic number.

114233321314032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114233321314032 is an abundant number, since it is smaller than the sum of its proper divisors (185291423768208).

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

114233321314032 is a wasteful number, since it uses less digits than its factorization.

114233321314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124255550 (or 124255544 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 114233321314032 its reverse (230413123332411), we get a palindrome (344646444646443).

The spelling of 114233321314032 in words is "one hundred fourteen trillion, two hundred thirty-three billion, three hundred twenty-one million, three hundred fourteen thousand, thirty-two".