663846144 has 72 divisors (see below), whose sum is σ = 1902735072. Its totient is φ = 204257280.

The previous prime is 663846143. The next prime is 663846151. The reversal of 663846144 is 441648366.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 663846096 and 663846105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663846143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23262 + ... + 43229.

It is an arithmetic number, because the mean of its divisors is an integer number (26426876).

Almost surely, 2^663846144 is an apocalyptic number.

663846144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

663846144 is an abundant number, since it is smaller than the sum of its proper divisors (1238888928).

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

663846144 is a wasteful number, since it uses less digits than its factorization.

663846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66523 (or 66509 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 663846144 is about 25765.2118951116. The cubic root of 663846144 is about 872.3467464809.

The spelling of 663846144 in words is "six hundred sixty-three million, eight hundred forty-six thousand, one hundred forty-four".