1008444812544 has 576 divisors, whose sum is σ = 3362494464000. Its totient is φ = 295993958400.

The previous prime is 1008444812521. The next prime is 1008444812563. The reversal of 1008444812544 is 4452184448001.

It is a happy number.

1008444812544 is a `hidden beast` number, since 1 + 0 + 0 + 84 + 448 + 125 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 1008444812544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197770507 + ... + 197775605.

It is an arithmetic number, because the mean of its divisors is an integer number (5837664000).

Almost surely, 2^{1008444812544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008444812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681247232000).

1008444812544 is an abundant number, since it is smaller than the sum of its proper divisors (2354049651456).

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

1008444812544 is a wasteful number, since it uses less digits than its factorization.

1008444812544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 1008444812544 in words is "one trillion, eight billion, four hundred forty-four million, eight hundred twelve thousand, five hundred forty-four".