8578741248 has 594 divisors, whose sum is σ = 31874602578. Its totient is φ = 2214051840.

The previous prime is 8578741177. The next prime is 8578741253. The reversal of 8578741248 is 8421478758.

8578741248 is a `hidden beast` number, since 8 + 578 + 7 + 41 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6611641344 + 1967099904 = 81312^2 + 44352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8578741194 and 8578741203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54641586 + ... + 54641742.

Almost surely, 2^8578741248 is an apocalyptic number.

8578741248 is a gapful number since it is divisible by the number (88) 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 8578741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937301289).

8578741248 is an abundant number, since it is smaller than the sum of its proper divisors (23295861330).

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

8578741248 is a wasteful number, since it uses less digits than its factorization.

8578741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The square root of 8578741248 is about 92621.4945247592. The cubic root of 8578741248 is about 2047.1100462714.

The spelling of 8578741248 in words is "eight billion, five hundred seventy-eight million, seven hundred forty-one thousand, two hundred forty-eight".