8141089468752 has 200 divisors, whose sum is σ = 24236909452800. Its totient is φ = 2636706401280.

The previous prime is 8141089468727. The next prime is 8141089468879. The reversal of 8141089468752 is 2578649801418.

8141089468752 is a `hidden beast` number, since 8 + 1 + 41 + 0 + 89 + 468 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8141089468752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10261624 + ... + 11026472.

It is an arithmetic number, because the mean of its divisors is an integer number (121184547264).

Almost surely, 2^{8141089468752} 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 8141089468752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118454726400).

8141089468752 is an abundant number, since it is smaller than the sum of its proper divisors (16095819984048).

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

8141089468752 is a wasteful number, since it uses less digits than its factorization.

8141089468752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765103 (or 765088 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 8141089468752 in words is "eight trillion, one hundred forty-one billion, eighty-nine million, four hundred sixty-eight thousand, seven hundred fifty-two".