445354661106 has 128 divisors (see below), whose sum is σ = 1019181757440. Its totient is φ = 144073448064.

The previous prime is 445354661099. The next prime is 445354661107. The reversal of 445354661106 is 601166453544.

445354661106 is a `hidden beast` number, since 4 + 4 + 535 + 4 + 6 + 6 + 1 + 106 = 666.

It is not an unprimeable number, because it can be changed into a prime (445354661107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300305841 + ... + 300307323.

It is an arithmetic number, because the mean of its divisors is an integer number (7962357480).

Almost surely, 2^445354661106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445354661106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509590878720).

445354661106 is an abundant number, since it is smaller than the sum of its proper divisors (573827096334).

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

445354661106 is a wasteful number, since it uses less digits than its factorization.

445354661106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 445354661106 in words is "four hundred forty-five billion, three hundred fifty-four million, six hundred sixty-one thousand, one hundred six".