1446445000000 has 1344 divisors, whose sum is σ = 5117293149696. Its totient is φ = 391680000000.

The previous prime is 1446444999973. The next prime is 1446445000003. The reversal of 1446445000000 is 5446441.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446445000003) 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 191 ways as a sum of consecutive naturals, for example, 85084999992 + ... + 85085000008.

It is an arithmetic number, because the mean of its divisors is an integer number (3807509784).

Almost surely, 2^{1446445000000} is an apocalyptic number.

1446445000000 is a gapful number since it is divisible by the number (10) 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 1446445000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558646574848).

1446445000000 is an abundant number, since it is smaller than the sum of its proper divisors (3670848149696).

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

1446445000000 is an frugal number, since it uses more digits than its factorization.

1446445000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 1446445000000 in words is "one trillion, four hundred forty-six billion, four hundred forty-five million", and thus it is an aban number.