445806540501444 has 144 divisors (see below), whose sum is σ = 1168865779536000. Its totient is φ = 143095916500992.

The previous prime is 445806540501437. The next prime is 445806540501457. The reversal of 445806540501444 is 444105045608544.

445806540501444 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 0 + 6 + 540 + 50 + 1 + 4 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778484532 + ... + 779056980.

It is an arithmetic number, because the mean of its divisors is an integer number (8117123469000).

Almost surely, 2^{445806540501444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445806540501444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584432889768000).

445806540501444 is an abundant number, since it is smaller than the sum of its proper divisors (723059239034556).

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

445806540501444 is a wasteful number, since it uses less digits than its factorization.

445806540501444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574474 (or 574469 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 54.

The spelling of 445806540501444 in words is "four hundred forty-five trillion, eight hundred six billion, five hundred forty million, five hundred one thousand, four hundred forty-four".