1482809328000 has 3584 divisors, whose sum is σ = 7479872225280. Its totient is φ = 282175488000.

The previous prime is 1482809327983. The next prime is 1482809328017. The reversal of 1482809328000 is 8239082841.

1482809328000 is a `hidden beast` number, since 1 + 4 + 8 + 280 + 93 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1482809327983) and next prime (1482809328017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11675663937 + ... + 11675664063.

It is an arithmetic number, because the mean of its divisors is an integer number (2087017920).

Almost surely, 2^{1482809328000} is an apocalyptic number.

1482809328000 is a gapful number since it is divisible by the number (10) 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 1482809328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739936112640).

1482809328000 is an abundant number, since it is smaller than the sum of its proper divisors (5997062897280).

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

1482809328000 is a wasteful number, since it uses less digits than its factorization.

1482809328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1482809328000 in words is "one trillion, four hundred eighty-two billion, eight hundred nine million, three hundred twenty-eight thousand".