1482345993600 has 576 divisors, whose sum is σ = 5343288372240. Its totient is φ = 391283343360.

The previous prime is 1482345993559. The next prime is 1482345993643. The reversal of 1482345993600 is 63995432841.

1482345993600 is a `hidden beast` number, since 1 + 4 + 8 + 23 + 4 + 5 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 1582012332 + ... + 1582013268.

Almost surely, 2^{1482345993600} is an apocalyptic number.

1482345993600 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 1482345993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671644186120).

1482345993600 is an abundant number, since it is smaller than the sum of its proper divisors (3860942378640).

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

1482345993600 is a wasteful number, since it uses less digits than its factorization.

1482345993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1482345993600 in words is "one trillion, four hundred eighty-two billion, three hundred forty-five million, nine hundred ninety-three thousand, six hundred".