489544290805248 has 1600 divisors, whose sum is σ = 1811461811702400. Its totient is φ = 131113288728576.

The previous prime is 489544290805247. The next prime is 489544290805259. The reversal of 489544290805248 is 842508092445984.

489544290805248 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 4 + 4 + 2 + 90 + 8 + 0 + 524 + 8 = 666.

It is a super-2 number, since 2×489544290805248² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489544290805243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62148566686 + ... + 62148574562.

It is an arithmetic number, because the mean of its divisors is an integer number (1132163632314).

Almost surely, 2^{489544290805248} is an apocalyptic number.

489544290805248 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 489544290805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905730905851200).

489544290805248 is an abundant number, since it is smaller than the sum of its proper divisors (1321917520897152).

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

489544290805248 is an equidigital number, since it uses as much as digits as its factorization.

489544290805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 489544290805248 in words is "four hundred eighty-nine trillion, five hundred forty-four billion, two hundred ninety million, eight hundred five thousand, two hundred forty-eight".