8145854080 has 576 divisors, whose sum is σ = 25854276600. Its totient is φ = 2442166272.

The previous prime is 8145854033. The next prime is 8145854107. The reversal of 8145854080 is 804585418.

It can be written as a sum of positive squares in 12 ways, for example, as 27123264 + 8118730816 = 5208^2 + 90104^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 153695334 + ... + 153695386.

Almost surely, 2^8145854080 is an apocalyptic number.

8145854080 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 8145854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927138300).

8145854080 is an abundant number, since it is smaller than the sum of its proper divisors (17708422520).

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

8145854080 is a wasteful number, since it uses less digits than its factorization.

8145854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The square root of 8145854080 is about 90254.3853782186. The cubic root of 8145854080 is about 2012.0813798476.

The spelling of 8145854080 in words is "eight billion, one hundred forty-five million, eight hundred fifty-four thousand, eighty".