4518258960096 has 288 divisors, whose sum is σ = 15243483790080. Its totient is φ = 1289636038656.

The previous prime is 4518258960053. The next prime is 4518258960101. The reversal of 4518258960096 is 6900698528154.

4518258960096 is a `hidden beast` number, since 4 + 5 + 18 + 2 + 5 + 8 + 9 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54880755 + ... + 54963021.

It is an arithmetic number, because the mean of its divisors is an integer number (52928763160).

Almost surely, 2^{4518258960096} 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 4518258960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621741895040).

4518258960096 is an abundant number, since it is smaller than the sum of its proper divisors (10725224829984).

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

4518258960096 is a wasteful number, since it uses less digits than its factorization.

4518258960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83308 (or 83288 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 4518258960096 in words is "four trillion, five hundred eighteen billion, two hundred fifty-eight million, nine hundred sixty thousand, ninety-six".