8148645120 has 864 divisors, whose sum is σ = 34359607296. Its totient is φ = 1625702400.

The previous prime is 8148645107. The next prime is 8148645199. The reversal of 8148645120 is 215468418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64162497 + ... + 64162623.

It is an arithmetic number, because the mean of its divisors is an integer number (39768064).

Almost surely, 2^8148645120 is an apocalyptic number.

8148645120 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 8148645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179803648).

8148645120 is an abundant number, since it is smaller than the sum of its proper divisors (26210962176).

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

8148645120 is a wasteful number, since it uses less digits than its factorization.

8148645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8148645120 is about 90269.8461281507. The cubic root of 8148645120 is about 2012.3111555631.

The spelling of 8148645120 in words is "eight billion, one hundred forty-eight million, six hundred forty-five thousand, one hundred twenty".