4509000096 has 96 divisors (see below), whose sum is σ = 12243119616. Its totient is φ = 1451520000.

The previous prime is 4509000091. The next prime is 4509000121. The reversal of 4509000096 is 6900009054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4509000091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787316 + ... + 1789836.

It is an arithmetic number, because the mean of its divisors is an integer number (127532496).

Almost surely, 2^4509000096 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 4509000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121559808).

4509000096 is an abundant number, since it is smaller than the sum of its proper divisors (7734119520).

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

4509000096 is a wasteful number, since it uses less digits than its factorization.

4509000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4509000096 is about 67149.0885716255. The cubic root of 4509000096 is about 1652.0635456408.

The spelling of 4509000096 in words is "four billion, five hundred nine million, ninety-six", and thus it is an aban number.