444005155010512 has 20 divisors (see below), whose sum is σ = 910863516529476. Its totient is φ = 208943602357760.

The previous prime is 444005155010479. The next prime is 444005155010671. The reversal of 444005155010512 is 215010551500444.

It can be written as a sum of positive squares in 2 ways, for example, as 305750264032656 + 138254890977856 = 17485716^2 + 11758184^2 .

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 3 ways as a sum of consecutive naturals, for example, 816185946439 + ... + 816185946982.

Almost surely, 2^{444005155010512} is an apocalyptic number.

It is an amenable number.

444005155010512 is an abundant number, since it is smaller than the sum of its proper divisors (466858361518964).

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

444005155010512 is a wasteful number, since it uses less digits than its factorization.

444005155010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632371893446 (or 1632371893440 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 37.

The spelling of 444005155010512 in words is "four hundred forty-four trillion, five billion, one hundred fifty-five million, ten thousand, five hundred twelve".