663656448 has 192 divisors, whose sum is σ = 2179457280. Its totient is φ = 174882816.

The previous prime is 663656437. The next prime is 663656449. The reversal of 663656448 is 844656366.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 663656397 and 663656406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663656449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558511 + ... + 559697.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^663656448 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 663656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

663656448 is an abundant number, since it is smaller than the sum of its proper divisors (1515800832).

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

663656448 is a wasteful number, since it uses less digits than its factorization.

663656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 663656448 is about 25761.5303893228. The cubic root of 663656448 is about 872.2636466770.

The spelling of 663656448 in words is "six hundred sixty-three million, six hundred fifty-six thousand, four hundred forty-eight".