1004813612544 has 480 divisors, whose sum is σ = 3331843891200. Its totient is φ = 267497717760.

The previous prime is 1004813612527. The next prime is 1004813612573. The reversal of 1004813612544 is 4452163184001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87225217 + ... + 87236735.

It is an arithmetic number, because the mean of its divisors is an integer number (6941341440).

Almost surely, 2^{1004813612544} is an apocalyptic number.

1004813612544 is a gapful number since it is divisible by the number (14) 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 1004813612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665921945600).

1004813612544 is an abundant number, since it is smaller than the sum of its proper divisors (2327030278656).

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

1004813612544 is a wasteful number, since it uses less digits than its factorization.

1004813612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634 (or 11611 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 1004813612544 its reverse (4452163184001), we get a palindrome (5456976796545).

The spelling of 1004813612544 in words is "one trillion, four billion, eight hundred thirteen million, six hundred twelve thousand, five hundred forty-four".