446334040433644 has 48 divisors (see below), whose sum is σ = 859142188136736. Its totient is φ = 202877256901440.

The previous prime is 446334040433627. The next prime is 446334040433651.

446334040433644 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 446334040433591 and 446334040433600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704778082 + ... + 705411094.

It is an arithmetic number, because the mean of its divisors is an integer number (17898795586182).

Almost surely, 2^{446334040433644} is an apocalyptic number.

446334040433644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446334040433644 is a deficient number, since it is larger than the sum of its proper divisors (412808147703092).

446334040433644 is a wasteful number, since it uses less digits than its factorization.

446334040433644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765487 (or 765463 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 52.

The spelling of 446334040433644 in words is "four hundred forty-six trillion, three hundred thirty-four billion, forty million, four hundred thirty-three thousand, six hundred forty-four".