6408518860801 has 2 divisors, whose sum is σ = 6408518860802. Its totient is φ = 6408518860800.

The previous prime is 6408518860741. The next prime is 6408518860819. The reversal of 6408518860801 is 1080688158046.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6152458572225 + 256060288576 = 2480415^2 + 506024^2 .

It is a cyclic number.

It is not a de Polignac number, because 6408518860801 - 2⁷ = 6408518860673 is a prime.

It is a super-3 number, since 3×6408518860801³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (6408518860871) 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, 3204259430400 + 3204259430401.

It is an arithmetic number, because the mean of its divisors is an integer number (3204259430401).

Almost surely, 2^{6408518860801} is an apocalyptic number.

It is an amenable number.

6408518860801 is a deficient number, since it is larger than the sum of its proper divisors (1).

6408518860801 is an equidigital number, since it uses as much as digits as its factorization.

6408518860801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2949120, while the sum is 55.

The spelling of 6408518860801 in words is "six trillion, four hundred eight billion, five hundred eighteen million, eight hundred sixty thousand, eight hundred one".