8945381825460 has 120 divisors (see below), whose sum is σ = 28070637130536. Its totient is φ = 2384700445440.

The previous prime is 8945381825449. The next prime is 8945381825483. The reversal of 8945381825460 is 645281835498.

8945381825460 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 3 + 8 + 1 + 82 + 546 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2051574958224 + 6893806867236 = 1432332^2 + 2625606^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4421130 + ... + 6118590.

Almost surely, 2^{8945381825460} 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 8945381825460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035318565268).

8945381825460 is an abundant number, since it is smaller than the sum of its proper divisors (19125255305076).

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

8945381825460 is a wasteful number, since it uses less digits than its factorization.

8945381825460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700735 (or 1700724 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8945381825460 in words is "eight trillion, nine hundred forty-five billion, three hundred eighty-one million, eight hundred twenty-five thousand, four hundred sixty".