648863712 has 144 divisors (see below), whose sum is σ = 2138179680. Its totient is φ = 182808576.

The previous prime is 648863687. The next prime is 648863753. The reversal of 648863712 is 217368846.

648863712 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 637 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 144964 + ... + 149372.

It is an arithmetic number, because the mean of its divisors is an integer number (14848470).

Almost surely, 2^648863712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069089840).

648863712 is an abundant number, since it is smaller than the sum of its proper divisors (1489315968).

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

648863712 is a wasteful number, since it uses less digits than its factorization.

648863712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4494 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 648863712 is about 25472.8033792906. The cubic root of 648863712 is about 865.7340431769.

The spelling of 648863712 in words is "six hundred forty-eight million, eight hundred sixty-three thousand, seven hundred twelve".