648330033846 has 64 divisors (see below), whose sum is σ = 1429854944256. Its totient is φ = 194339904000.

The previous prime is 648330033811. The next prime is 648330033877.

648330033846 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 648330033795 and 648330033804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7308510 + ... + 7396686.

It is an arithmetic number, because the mean of its divisors is an integer number (22341483504).

Almost surely, 2^648330033846 is an apocalyptic number.

648330033846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 648330033846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714927472128).

648330033846 is an abundant number, since it is smaller than the sum of its proper divisors (781524910410).

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

648330033846 is a wasteful number, since it uses less digits than its factorization.

648330033846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89397.

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 648330033846 in words is "six hundred forty-eight billion, three hundred thirty million, thirty-three thousand, eight hundred forty-six".