1663209446112 has 480 divisors, whose sum is σ = 5073010145280. Its totient is φ = 534278384640.

The previous prime is 1663209446077. The next prime is 1663209446113. The reversal of 1663209446112 is 2116449023661.

1663209446112 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 20 + 9 + 4 + 4 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663209446113) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3592244793 + ... + 3592245255.

It is an arithmetic number, because the mean of its divisors is an integer number (10568771136).

Almost surely, 2^{1663209446112} is an apocalyptic number.

1663209446112 is a gapful number since it is divisible by the number (12) 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 1663209446112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536505072640).

1663209446112 is an abundant number, since it is smaller than the sum of its proper divisors (3409800699168).

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

1663209446112 is a wasteful number, since it uses less digits than its factorization.

1663209446112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1663209446112 in words is "one trillion, six hundred sixty-three billion, two hundred nine million, four hundred forty-six thousand, one hundred twelve".