445205755008 has 384 divisors, whose sum is σ = 1600294026240. Its totient is φ = 115856179200.

The previous prime is 445205755003. The next prime is 445205755019. The reversal of 445205755008 is 800557502544.

445205755008 is a `hidden beast` number, since 4 + 4 + 5 + 20 + 575 + 50 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (445205755003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4197348 + ... + 4302108.

It is an arithmetic number, because the mean of its divisors is an integer number (4167432360).

Almost surely, 2^445205755008 is an apocalyptic number.

445205755008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445205755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800147013120).

445205755008 is an abundant number, since it is smaller than the sum of its proper divisors (1155088271232).

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

445205755008 is a wasteful number, since it uses less digits than its factorization.

445205755008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104836 (or 104821 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 445205755008 in words is "four hundred forty-five billion, two hundred five million, seven hundred fifty-five thousand, eight".