8148098580840 has 448 divisors, whose sum is σ = 29118638270160. Its totient is φ = 2043995627520.

The previous prime is 8148098580827. The next prime is 8148098580877. The reversal of 8148098580840 is 480858908418.

8148098580840 is a `hidden beast` number, since 8 + 1 + 4 + 8 + 0 + 9 + 8 + 580 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2476261020996 + 5671837559844 = 1573614^2 + 2381562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1763273730 + ... + 1763278350.

Almost surely, 2^{8148098580840} 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 8148098580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559319135080).

8148098580840 is an abundant number, since it is smaller than the sum of its proper divisors (20970539689320).

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

8148098580840 is a wasteful number, since it uses less digits than its factorization.

8148098580840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 8148098580840 in words is "eight trillion, one hundred forty-eight billion, ninety-eight million, five hundred eighty thousand, eight hundred forty".