4482646080192 has 560 divisors, whose sum is σ = 15461469923328. Its totient is φ = 1257666600960.

The previous prime is 4482646080191. The next prime is 4482646080233. The reversal of 4482646080192 is 2910806462844.

It is a happy number.

4482646080192 is a `hidden beast` number, since 4 + 4 + 8 + 26 + 4 + 608 + 0 + 1 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4482646080191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819344017 + ... + 819349487.

Almost surely, 2^{4482646080192} is an apocalyptic number.

4482646080192 is a gapful number since it is divisible by the number (42) 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 4482646080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730734961664).

4482646080192 is an abundant number, since it is smaller than the sum of its proper divisors (10978823843136).

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

4482646080192 is a wasteful number, since it uses less digits than its factorization.

4482646080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4482646080192 in words is "four trillion, four hundred eighty-two billion, six hundred forty-six million, eighty thousand, one hundred ninety-two".