446244442644 has 384 divisors, whose sum is σ = 1453228019712. Its totient is φ = 102837288960.

The previous prime is 446244442639. The next prime is 446244442667.

It is a happy number.

446244442644 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 = 446244442593 and 446244442602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36882804 + ... + 36894900.

It is an arithmetic number, because the mean of its divisors is an integer number (3784447968).

Almost surely, 2^446244442644 is an apocalyptic number.

446244442644 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 446244442644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726614009856).

446244442644 is an abundant number, since it is smaller than the sum of its proper divisors (1006983577068).

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

446244442644 is a wasteful number, since it uses less digits than its factorization.

446244442644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12253 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

It can be divided in two parts, 446244 and 442644, that added together give a palindrome (888888).

The spelling of 446244442644 in words is "four hundred forty-six billion, two hundred forty-four million, four hundred forty-two thousand, six hundred forty-four".