446630349312 has 360 divisors, whose sum is σ = 1551183390900. Its totient is φ = 123206565888.

The previous prime is 446630349311. The next prime is 446630349323. The reversal of 446630349312 is 213943036644.

446630349312 is a `hidden beast` number, since 4 + 4 + 6 + 630 + 3 + 4 + 9 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 446630236416 + 112896 = 668304^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (446630349311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6513864 + ... + 6582072.

Almost surely, 2^446630349312 is an apocalyptic number.

446630349312 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 446630349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775591695450).

446630349312 is an abundant number, since it is smaller than the sum of its proper divisors (1104553041588).

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

446630349312 is a wasteful number, since it uses less digits than its factorization.

446630349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68276 (or 68250 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 446630349312 in words is "four hundred forty-six billion, six hundred thirty million, three hundred forty-nine thousand, three hundred twelve".