114133242125344 has 48 divisors (see below), whose sum is σ = 242076749546520. Its totient is φ = 52656782469120.

The previous prime is 114133242125321. The next prime is 114133242125387. The reversal of 114133242125344 is 443521242331411.

It can be written as a sum of positive squares in 4 ways, for example, as 77172921875344 + 36960320250000 = 8784812^2 + 6079500^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114133242125297 and 114133242125306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51248229 + ... + 53428900.

Almost surely, 2^{114133242125344} is an apocalyptic number.

It is an amenable number.

114133242125344 is an abundant number, since it is smaller than the sum of its proper divisors (127943507421176).

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

114133242125344 is a wasteful number, since it uses less digits than its factorization.

114133242125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104679773 (or 104679765 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

Adding to 114133242125344 its reverse (443521242331411), we get a palindrome (557654484456755).

The spelling of 114133242125344 in words is "one hundred fourteen trillion, one hundred thirty-three billion, two hundred forty-two million, one hundred twenty-five thousand, three hundred forty-four".