334313133404144 has 20 divisors (see below), whose sum is σ = 651350308802760. Its totient is φ = 166222731132480.

The previous prime is 334313133404101. The next prime is 334313133404149. The reversal of 334313133404144 is 441404331313433.

It is a super-3 number, since 3×334313133404144³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334313133404149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58364720147 + ... + 58364725874.

It is an arithmetic number, because the mean of its divisors is an integer number (32567515440138).

Almost surely, 2^{334313133404144} is an apocalyptic number.

It is an amenable number.

334313133404144 is a deficient number, since it is larger than the sum of its proper divisors (317037175398616).

334313133404144 is a wasteful number, since it uses less digits than its factorization.

334313133404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116729446208 (or 116729446202 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 41.

Adding to 334313133404144 its reverse (441404331313433), we get a palindrome (775717464717577).

The spelling of 334313133404144 in words is "three hundred thirty-four trillion, three hundred thirteen billion, one hundred thirty-three million, four hundred four thousand, one hundred forty-four".