444653505356444 has 48 divisors (see below), whose sum is σ = 801477585957888. Its totient is φ = 215778645232128.

The previous prime is 444653505356413. The next prime is 444653505356531.

444653505356444 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32554214 + ... + 44148429.

It is an arithmetic number, because the mean of its divisors is an integer number (16697449707456).

Almost surely, 2^{444653505356444} is an apocalyptic number.

It is an amenable number.

444653505356444 is a deficient number, since it is larger than the sum of its proper divisors (356824080601444).

444653505356444 is a wasteful number, since it uses less digits than its factorization.

444653505356444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76703034 (or 76703032 counting only the distinct ones).

The product of its (nonzero) digits is 829440000, while the sum is 62.

The spelling of 444653505356444 in words is "four hundred forty-four trillion, six hundred fifty-three billion, five hundred five million, three hundred fifty-six thousand, four hundred forty-four".