1482152460480 has 336 divisors, whose sum is σ = 5164849557504. Its totient is φ = 390067046400.

The previous prime is 1482152460473. The next prime is 1482152460491. The reversal of 1482152460480 is 840642512841.

1482152460480 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 15 + 24 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×1482152460480² (a number of 25 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 275132347 + ... + 275137733.

It is an arithmetic number, because the mean of its divisors is an integer number (15371576064).

Almost surely, 2^{1482152460480} is an apocalyptic number.

1482152460480 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 1482152460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582424778752).

1482152460480 is an abundant number, since it is smaller than the sum of its proper divisors (3682697097024).

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

1482152460480 is a wasteful number, since it uses less digits than its factorization.

1482152460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1482152460480 in words is "one trillion, four hundred eighty-two billion, one hundred fifty-two million, four hundred sixty thousand, four hundred eighty".