2380968129601 has 2 divisors, whose sum is σ = 2380968129602. Its totient is φ = 2380968129600.

The previous prime is 2380968129503. The next prime is 2380968129629. The reversal of 2380968129601 is 1069218690832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1673983130625 + 706984998976 = 1293825^2 + 840824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2380968129601 - 2¹¹ = 2380968127553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2380968129641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1190484064800 + 1190484064801.

It is an arithmetic number, because the mean of its divisors is an integer number (1190484064801).

Almost surely, 2^{2380968129601} is an apocalyptic number.

It is an amenable number.

2380968129601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2380968129601 is an equidigital number, since it uses as much as digits as its factorization.

2380968129601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 2380968129601 in words is "two trillion, three hundred eighty billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, six hundred one".