444510000015444 has 216 divisors, whose sum is σ = 1322399848409640. Its totient is φ = 125352014008320.

The previous prime is 444510000015439. The next prime is 444510000015479.

444510000015444 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 100 + 0 + 0 + 0 + 1 + 544 + 4 = 666.

444510000015444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 98950528022544 + 345559471992900 = 9947388^2 + 18589230^2 .

It is a super-2 number, since 2×444510000015444² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444510000015399 and 444510000015408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27132259 + ... + 40313514.

It is an arithmetic number, because the mean of its divisors is an integer number (6122221520415).

Almost surely, 2^{444510000015444} is an apocalyptic number.

444510000015444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444510000015444 is an abundant number, since it is smaller than the sum of its proper divisors (877889848394196).

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

444510000015444 is a wasteful number, since it uses less digits than its factorization.

444510000015444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67445911 (or 67445895 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 4445100000 and 15444, that added together give a palindrome (4445115444).

The spelling of 444510000015444 in words is "four hundred forty-four trillion, five hundred ten billion, fifteen thousand, four hundred forty-four".