444511572213000 has 256 divisors, whose sum is σ = 1416703161968640. Its totient is φ = 116013792864000.

The previous prime is 444511572212959. The next prime is 444511572213001. The reversal of 444511572213000 is 312275115444.

It is a happy number.

It is a super-2 number, since 2×444511572213000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444511572213000.

It is not an unprimeable number, because it can be changed into a prime (444511572213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18301005 + ... + 34984995.

It is an arithmetic number, because the mean of its divisors is an integer number (5533996726440).

Almost surely, 2^{444511572213000} is an apocalyptic number.

444511572213000 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 444511572213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708351580984320).

444511572213000 is an abundant number, since it is smaller than the sum of its proper divisors (972191589755640).

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

444511572213000 is a wasteful number, since it uses less digits than its factorization.

444511572213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16684205 (or 16684191 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 444511572213000 in words is "four hundred forty-four trillion, five hundred eleven billion, five hundred seventy-two million, two hundred thirteen thousand".