1482192946080 has 2304 divisors, whose sum is σ = 6857212723200. Its totient is φ = 292327833600.

The previous prime is 1482192946067. The next prime is 1482192946099. The reversal of 1482192946080 is 806492912841.

It is a happy number.

1482192946080 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 1 + 9 + 29 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 8280407431 + ... + 8280407609.

It is an arithmetic number, because the mean of its divisors is an integer number (2976220800).

Almost surely, 2^{1482192946080} is an apocalyptic number.

1482192946080 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 1482192946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428606361600).

1482192946080 is an abundant number, since it is smaller than the sum of its proper divisors (5375019777120).

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

1482192946080 is a wasteful number, since it uses less digits than its factorization.

1482192946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1482192946080 in words is "one trillion, four hundred eighty-two billion, one hundred ninety-two million, nine hundred forty-six thousand, eighty".