6648366638466 has 48 divisors (see below), whose sum is σ = 17431011696384. Its totient is φ = 1787796070272.

The previous prime is 6648366638429. The next prime is 6648366638479.

6648366638466 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6648366638466³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6648366638394 and 6648366638403.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1551904170 + ... + 1551908453.

It is an arithmetic number, because the mean of its divisors is an integer number (363146077008).

Almost surely, 2^{6648366638466} is an apocalyptic number.

6648366638466 is an abundant number, since it is smaller than the sum of its proper divisors (10782645057918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6648366638466 is a wasteful number, since it uses less digits than its factorization.

6648366638466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103812655 (or 3103812652 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 72.

The spelling of 6648366638466 in words is "six trillion, six hundred forty-eight billion, three hundred sixty-six million, six hundred thirty-eight thousand, four hundred sixty-six".