1005454004544 has 336 divisors, whose sum is σ = 3218719967424. Its totient is φ = 297520128000.

The previous prime is 1005454004531. The next prime is 1005454004549. The reversal of 1005454004544 is 4454004545001.

1005454004544 is a `hidden beast` number, since 10 + 0 + 54 + 54 + 0 + 0 + 4 + 544 = 666.

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 = 1005454004499 and 1005454004508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005454004549) 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 47 ways as a sum of consecutive naturals, for example, 46704567 + ... + 46726089.

Almost surely, 2^{1005454004544} 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 1005454004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609359983712).

1005454004544 is an abundant number, since it is smaller than the sum of its proper divisors (2213265962880).

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

1005454004544 is a wasteful number, since it uses less digits than its factorization.

1005454004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21726 (or 21713 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 1005454004544 its reverse (4454004545001), we get a palindrome (5459458549545).

The spelling of 1005454004544 in words is "one trillion, five billion, four hundred fifty-four million, four thousand, five hundred forty-four".