114344514301344 has 96 divisors (see below), whose sum is σ = 300271220032896. Its totient is φ = 38100000153600.

The previous prime is 114344514301319. The next prime is 114344514301349. The reversal of 114344514301344 is 443103415443411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 114344514301296 and 114344514301305.

It is not an unprimeable number, because it can be changed into a prime (114344514301349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431773244 + ... + 4431799044.

It is an arithmetic number, because the mean of its divisors is an integer number (3127825208676).

Almost surely, 2^{114344514301344} is an apocalyptic number.

It is an amenable number.

114344514301344 is an abundant number, since it is smaller than the sum of its proper divisors (185926705731552).

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

114344514301344 is a wasteful number, since it uses less digits than its factorization.

114344514301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41998 (or 41990 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 114344514301344 its reverse (443103415443411), we get a palindrome (557447929744755).

The spelling of 114344514301344 in words is "one hundred fourteen trillion, three hundred forty-four billion, five hundred fourteen million, three hundred one thousand, three hundred forty-four".