446172644631216 has 160 divisors (see below), whose sum is σ = 1246110768806400. Its totient is φ = 137083874549760.

The previous prime is 446172644631169. The next prime is 446172644631221. The reversal of 446172644631216 is 612136446271644.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048517056 + ... + 1048942496.

It is an arithmetic number, because the mean of its divisors is an integer number (7788192305040).

Almost surely, 2^{446172644631216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446172644631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623055384403200).

446172644631216 is an abundant number, since it is smaller than the sum of its proper divisors (799938124175184).

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

446172644631216 is a wasteful number, since it uses less digits than its factorization.

446172644631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456587 (or 456581 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 446172644631216 in words is "four hundred forty-six trillion, one hundred seventy-two billion, six hundred forty-four million, six hundred thirty-one thousand, two hundred sixteen".