663805468801 has 8 divisors (see below), whose sum is σ = 664058995208. Its totient is φ = 663552000000.

The previous prime is 663805468787. The next prime is 663805468813. The reversal of 663805468801 is 108864508366.

It can be written as a sum of positive squares in 4 ways, for example, as 446277441600 + 217528027201 = 668040^2 + 466399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(663805468801) divides (663805468801-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 663805468801 - 2¹⁵ = 663805436033 is a prime.

It is a deceptive number, since it divides R_663805468800.

It is not an unprimeable number, because it can be changed into a prime (663805468861) by changing a digit.

It is a Zeisel number, with parameters (1, 4800).

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 in 7 ways as a sum of consecutive naturals, for example, 46087201 + ... + 46101601.

It is an arithmetic number, because the mean of its divisors is an integer number (83007374401).

It is a Poulet number, since it divides 2^663805468800-1.

Almost surely, 2^663805468801 is an apocalyptic number.

It is an amenable number.

663805468801 is a deficient number, since it is larger than the sum of its proper divisors (253526407).

663805468801 is a wasteful number, since it uses less digits than its factorization.

663805468801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28803.

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 663805468801 in words is "six hundred sixty-three billion, eight hundred five million, four hundred sixty-eight thousand, eight hundred one".