445207359168 has 1008 divisors, whose sum is σ = 1612665100800. Its totient is φ = 116065198080.

The previous prime is 445207359151. The next prime is 445207359257. The reversal of 445207359168 is 861953702544.

It is a happy number.

445207359168 is a `hidden beast` number, since 4 + 4 + 520 + 7 + 3 + 59 + 1 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1607246646 + ... + 1607246922.

It is a 1-persistent number, because it is pandigital, but 2⋅445207359168 = 890414718336 is not.

Almost surely, 2^445207359168 is an apocalyptic number.

445207359168 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 445207359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806332550400).

445207359168 is an abundant number, since it is smaller than the sum of its proper divisors (1167457741632).

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

445207359168 is a wasteful number, since it uses less digits than its factorization.

445207359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 445207359168 in words is "four hundred forty-five billion, two hundred seven million, three hundred fifty-nine thousand, one hundred sixty-eight".