446343343644 has 288 divisors, whose sum is σ = 1193289185088. Its totient is φ = 129649766400.

The previous prime is 446343343639. The next prime is 446343343679.

446343343644 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 446343343593 and 446343343602.

It is a congruent number.

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, 1915636552 + ... + 1915636784.

It is an arithmetic number, because the mean of its divisors is an integer number (4143365226).

Almost surely, 2^446343343644 is an apocalyptic number.

446343343644 is a gapful number since it is divisible by the number (44) 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 446343343644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596644592544).

446343343644 is an abundant number, since it is smaller than the sum of its proper divisors (746945841444).

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

446343343644 is a wasteful number, since it uses less digits than its factorization.

446343343644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 446343 and 343644, that added together give a palindrome (789987).

The spelling of 446343343644 in words is "four hundred forty-six billion, three hundred forty-three million, three hundred forty-three thousand, six hundred forty-four".