445051127808 has 720 divisors, whose sum is σ = 1559548710720. Its totient is φ = 123858616320.

The previous prime is 445051127791. The next prime is 445051127821. The reversal of 445051127808 is 808721150544.

445051127808 is a `hidden beast` number, since 4 + 4 + 50 + 511 + 2 + 7 + 80 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4320884685 + ... + 4320884787.

It is an arithmetic number, because the mean of its divisors is an integer number (2166039876).

Almost surely, 2^445051127808 is an apocalyptic number.

445051127808 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 445051127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779774355360).

445051127808 is an abundant number, since it is smaller than the sum of its proper divisors (1114497582912).

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

445051127808 is an equidigital number, since it uses as much as digits as its factorization.

445051127808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 445051127808 in words is "four hundred forty-five billion, fifty-one million, one hundred twenty-seven thousand, eight hundred eight".