445012000000 has 126 divisors (see below), whose sum is σ = 1110352857614. Its totient is φ = 178003200000.

The previous prime is 445011999967. The next prime is 445012000019. The reversal of 445012000000 is 210544.

It can be written as a sum of positive squares in 7 ways, for example, as 440938497024 + 4073502976 = 664032^2 + 63824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 3944374 + ... + 4055626.

Almost surely, 2^445012000000 is an apocalyptic number.

445012000000 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 445012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555176428807).

445012000000 is an abundant number, since it is smaller than the sum of its proper divisors (665340857614).

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

445012000000 is an frugal number, since it uses more digits than its factorization.

445012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111299 (or 111260 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 445012000000 its reverse (210544), we get a palindrome (445012210544).

The spelling of 445012000000 in words is "four hundred forty-five billion, twelve million", and thus it is an aban number.