1482142834656 has 216 divisors, whose sum is σ = 4635179345160. Its totient is φ = 448907880960.

The previous prime is 1482142834637. The next prime is 1482142834681. The reversal of 1482142834656 is 6564382412841.

1482142834656 is a `hidden beast` number, since 1 + 48 + 21 + 42 + 83 + 465 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77109015 + ... + 77128233.

It is an arithmetic number, because the mean of its divisors is an integer number (21459163635).

Almost surely, 2^{1482142834656} is an apocalyptic number.

1482142834656 is a gapful number since it is divisible by the number (16) 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 1482142834656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317589672580).

1482142834656 is an abundant number, since it is smaller than the sum of its proper divisors (3153036510504).

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

1482142834656 is a wasteful number, since it uses less digits than its factorization.

1482142834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21470 (or 21448 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 1482142834656 in words is "one trillion, four hundred eighty-two billion, one hundred forty-two million, eight hundred thirty-four thousand, six hundred fifty-six".