480813348996401 has 2 divisors, whose sum is σ = 480813348996402. Its totient is φ = 480813348996400.

The previous prime is 480813348996389. The next prime is 480813348996427. The reversal of 480813348996401 is 104699843318084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328626559363600 + 152186789632801 = 18128060^2 + 12336401^2 .

It is a cyclic number.

It is not a de Polignac number, because 480813348996401 - 2⁴⁶ = 410444604818737 is a prime.

It is a super-3 number, since 3×480813348996401³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480813348998401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240406674498200 + 240406674498201.

It is an arithmetic number, because the mean of its divisors is an integer number (240406674498201).

Almost surely, 2^{480813348996401} is an apocalyptic number.

It is an amenable number.

480813348996401 is a deficient number, since it is larger than the sum of its proper divisors (1).

480813348996401 is an equidigital number, since it uses as much as digits as its factorization.

480813348996401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 143327232, while the sum is 68.

The spelling of 480813348996401 in words is "four hundred eighty trillion, eight hundred thirteen billion, three hundred forty-eight million, nine hundred ninety-six thousand, four hundred one".