446975697168 has 480 divisors, whose sum is σ = 1682059841280. Its totient is φ = 107006607360.

The previous prime is 446975697151. The next prime is 446975697197. The reversal of 446975697168 is 861796579644.

It is a happy number.

446975697168 is a `hidden beast` number, since 4 + 46 + 9 + 7 + 569 + 7 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 446975697096 and 446975697105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116610580 + ... + 116614412.

It is an arithmetic number, because the mean of its divisors is an integer number (3504291336).

Almost surely, 2^446975697168 is an apocalyptic number.

446975697168 is a gapful number since it is divisible by the number (48) 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 446975697168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841029920640).

446975697168 is an abundant number, since it is smaller than the sum of its proper divisors (1235084144112).

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

446975697168 is a wasteful number, since it uses less digits than its factorization.

446975697168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4678 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 446975697168 in words is "four hundred forty-six billion, nine hundred seventy-five million, six hundred ninety-seven thousand, one hundred sixty-eight".