489836648448 has 1152 divisors, whose sum is σ = 1785834086400. Its totient is φ = 126340300800.

The previous prime is 489836648443. The next prime is 489836648459. The reversal of 489836648448 is 844846638984.

489836648448 is a `hidden beast` number, since 4 + 8 + 9 + 83 + 66 + 48 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (1019215872) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489836648443) 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 95 ways as a sum of consecutive naturals, for example, 4755695565 + ... + 4755695667.

It is an arithmetic number, because the mean of its divisors is an integer number (1550203200).

Almost surely, 2^489836648448 is an apocalyptic number.

489836648448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489836648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892917043200).

489836648448 is an abundant number, since it is smaller than the sum of its proper divisors (1295997437952).

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

489836648448 is a wasteful number, since it uses less digits than its factorization.

489836648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 489836648448 in words is "four hundred eighty-nine billion, eight hundred thirty-six million, six hundred forty-eight thousand, four hundred forty-eight".