2331205160401 has 16 divisors (see below), whose sum is σ = 2551624059600. Its totient is φ = 2116902509568.

The previous prime is 2331205160381. The next prime is 2331205160413. The reversal of 2331205160401 is 1040615021332.

It can be written as a sum of positive squares in 8 ways, for example, as 236544400 + 2330968616001 = 15380^2 + 1526751^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331205160401 - 2¹¹ = 2331205158353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2331205160401.

It is not an unprimeable number, because it can be changed into a prime (2331205160201) 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, 4885956 + ... + 5341813.

It is an arithmetic number, because the mean of its divisors is an integer number (159476503725).

Almost surely, 2^{2331205160401} is an apocalyptic number.

It is an amenable number.

2331205160401 is a deficient number, since it is larger than the sum of its proper divisors (220418899199).

2331205160401 is a wasteful number, since it uses less digits than its factorization.

2331205160401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228068.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 2331205160401 in words is "two trillion, three hundred thirty-one billion, two hundred five million, one hundred sixty thousand, four hundred one".