444051323150444 has 24 divisors (see below), whose sum is σ = 825634039124160. Its totient is φ = 208374305104656.

The previous prime is 444051323150381. The next prime is 444051323150473.

444051323150444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444051323150395 and 444051323150404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27302704802 + ... + 27302721065.

It is an arithmetic number, because the mean of its divisors is an integer number (34401418296840).

Almost surely, 2^{444051323150444} is an apocalyptic number.

It is an amenable number.

444051323150444 is a deficient number, since it is larger than the sum of its proper divisors (381582715973716).

444051323150444 is a wasteful number, since it uses less digits than its factorization.

444051323150444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54605425997 (or 54605425995 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

The spelling of 444051323150444 in words is "four hundred forty-four trillion, fifty-one billion, three hundred twenty-three million, one hundred fifty thousand, four hundred forty-four".