8148850560 has 256 divisors, whose sum is σ = 28956168000. Its totient is φ = 2165833728.

The previous prime is 8148850559. The next prime is 8148850561. The reversal of 8148850560 is 650588418.

8148850560 is a `hidden beast` number, since 8 + 1 + 4 + 8 + 85 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8148850559) and next prime (8148850561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8148850561) 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 31 ways as a sum of consecutive naturals, for example, 7066944 + ... + 7068096.

Almost surely, 2^8148850560 is an apocalyptic number.

8148850560 is a gapful number since it is divisible by the number (80) 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 8148850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478084000).

8148850560 is an abundant number, since it is smaller than the sum of its proper divisors (20807317440).

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

8148850560 is a wasteful number, since it uses less digits than its factorization.

8148850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8148850560 is about 90270.9840424929. The cubic root of 8148850560 is about 2012.3280665843.

The spelling of 8148850560 in words is "eight billion, one hundred forty-eight million, eight hundred fifty thousand, five hundred sixty".