4488756096492 has 480 divisors, whose sum is σ = 12957041180160. Its totient is φ = 1350131328000.

The previous prime is 4488756096481. The next prime is 4488756096497. The reversal of 4488756096492 is 2946906578844.

4488756096492 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 7 + 5 + 609 + 6 + 4 + 9 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4488756096492.

It is not an unprimeable number, because it can be changed into a prime (4488756096497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1917451242 + ... + 1917453582.

It is an arithmetic number, because the mean of its divisors is an integer number (26993835792).

Almost surely, 2^{4488756096492} 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 4488756096492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478520590080).

4488756096492 is an abundant number, since it is smaller than the sum of its proper divisors (8468285083668).

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

4488756096492 is a wasteful number, since it uses less digits than its factorization.

4488756096492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 4488756096492 in words is "four trillion, four hundred eighty-eight billion, seven hundred fifty-six million, ninety-six thousand, four hundred ninety-two".