2300341141344 has 24 divisors (see below), whose sum is σ = 6038395496280. Its totient is φ = 766780380416.

The previous prime is 2300341141297. The next prime is 2300341141403. The reversal of 2300341141344 is 4431411430032.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×2300341141344⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11980943349 + ... + 11980943540.

It is an arithmetic number, because the mean of its divisors is an integer number (251599812345).

Almost surely, 2^{2300341141344} is an apocalyptic number.

2300341141344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300341141344 is an abundant number, since it is smaller than the sum of its proper divisors (3738054354936).

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

2300341141344 is a wasteful number, since it uses less digits than its factorization.

2300341141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961886902 (or 23961886894 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2300341141344 its reverse (4431411430032), we get a palindrome (6731752571376).

The spelling of 2300341141344 in words is "two trillion, three hundred billion, three hundred forty-one million, one hundred forty-one thousand, three hundred forty-four".