8509148496 has 120 divisors (see below), whose sum is σ = 24729292224. Its totient is φ = 2832537600.

The previous prime is 8509148489. The next prime is 8509148497. The reversal of 8509148496 is 6948419058.

8509148496 is a `hidden beast` number, since 8 + 5 + 0 + 9 + 148 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509148497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5314096 + ... + 5315696.

Almost surely, 2^8509148496 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 8509148496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364646112).

8509148496 is an abundant number, since it is smaller than the sum of its proper divisors (16220143728).

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

8509148496 is a wasteful number, since it uses less digits than its factorization.

8509148496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8509148496 is about 92245.0459157564. The cubic root of 8509148496 is about 2041.5594650126.

The spelling of 8509148496 in words is "eight billion, five hundred nine million, one hundred forty-eight thousand, four hundred ninety-six".