331341142214401 has 16 divisors (see below), whose sum is σ = 364167676368000. Its totient is φ = 298972778544000.

The previous prime is 331341142214393. The next prime is 331341142214471. The reversal of 331341142214401 is 104412241143133.

It is not a de Polignac number, because 331341142214401 - 2³ = 331341142214393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331341142214471) 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, 184149250 + ... + 185939851.

It is an arithmetic number, because the mean of its divisors is an integer number (22760479773000).

Almost surely, 2^{331341142214401} is an apocalyptic number.

It is an amenable number.

331341142214401 is a deficient number, since it is larger than the sum of its proper divisors (32826534153599).

331341142214401 is a wasteful number, since it uses less digits than its factorization.

331341142214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370089720.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 331341142214401 its reverse (104412241143133), we get a palindrome (435753383357534).

The spelling of 331341142214401 in words is "three hundred thirty-one trillion, three hundred forty-one billion, one hundred forty-two million, two hundred fourteen thousand, four hundred one".