1482529112064 has 1904 divisors, whose sum is σ = 6161352013824. Its totient is φ = 343985356800.

The previous prime is 1482529112021. The next prime is 1482529112069. The reversal of 1482529112064 is 4602119252841.

1482529112064 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 529 + 112 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482529112069) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47823519729 + ... + 47823519759.

Almost surely, 2^{1482529112064} is an apocalyptic number.

1482529112064 is a gapful number since it is divisible by the number (14) 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 1482529112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080676006912).

1482529112064 is an abundant number, since it is smaller than the sum of its proper divisors (4678822901760).

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

1482529112064 is an frugal number, since it uses more digits than its factorization.

1482529112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1482529112064 in words is "one trillion, four hundred eighty-two billion, five hundred twenty-nine million, one hundred twelve thousand, sixty-four".