445471488000 has 2688 divisors, whose sum is σ = 2144963358720. Its totient is φ = 89579520000.

The previous prime is 445471487987. The next prime is 445471488001. The reversal of 445471488000 is 884174544.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×445471488000³ (a number of 36 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (445471488001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 14370047985 + ... + 14370048015.

It is an arithmetic number, because the mean of its divisors is an integer number (797977440).

Almost surely, 2^445471488000 is an apocalyptic number.

445471488000 is a gapful number since it is divisible by the number (40) 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 445471488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072481679360).

445471488000 is an abundant number, since it is smaller than the sum of its proper divisors (1699491870720).

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

445471488000 is an equidigital number, since it uses as much as digits as its factorization.

445471488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 445471488000 in words is "four hundred forty-five billion, four hundred seventy-one million, four hundred eighty-eight thousand".