445648441005 has 80 divisors (see below), whose sum is σ = 804230856000. Its totient is φ = 236086099200.

The previous prime is 445648440997. The next prime is 445648441027. The reversal of 445648441005 is 500144846544.

445648441005 is a `hidden beast` number, since 4 + 4 + 564 + 84 + 4 + 1 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 445648441005 - 2³ = 445648440997 is a prime.

It is a super-5 number, since 5×445648441005⁵ (a number of 59 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 76189321 + ... + 76195169.

It is an arithmetic number, because the mean of its divisors is an integer number (10052885700).

Almost surely, 2^445648441005 is an apocalyptic number.

445648441005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445648441005 is a deficient number, since it is larger than the sum of its proper divisors (358582414995).

445648441005 is a wasteful number, since it uses less digits than its factorization.

445648441005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

It can be divided in two parts, 44564 and 8441005, that added together give a square (8485569 = 2913²).

The spelling of 445648441005 in words is "four hundred forty-five billion, six hundred forty-eight million, four hundred forty-one thousand, five".