489825961363008 has 448 divisors, whose sum is σ = 1465181825536000. Its totient is φ = 160432619010048.

The previous prime is 489825961362973. The next prime is 489825961363019. The reversal of 489825961363008 is 800363169528984.

It is a happy number.

489825961363008 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 259 + 6 + 1 + 363 + 0 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102409774185 + ... + 102409778967.

Almost surely, 2^{489825961363008} is an apocalyptic number.

489825961363008 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 489825961363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732590912768000).

489825961363008 is an abundant number, since it is smaller than the sum of its proper divisors (975355864172992).

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

489825961363008 is a wasteful number, since it uses less digits than its factorization.

489825961363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 489825961363008 in words is "four hundred eighty-nine trillion, eight hundred twenty-five billion, nine hundred sixty-one million, three hundred sixty-three thousand, eight".