8002484013524 has 288 divisors, whose sum is σ = 19528229855232. Its totient is φ = 2819958624000.

The previous prime is 8002484013499. The next prime is 8002484013553. The reversal of 8002484013524 is 4253104842008.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 324355709 + ... + 324380379.

It is an arithmetic number, because the mean of its divisors is an integer number (67806353664).

Almost surely, 2^{8002484013524} 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 8002484013524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764114927616).

8002484013524 is an abundant number, since it is smaller than the sum of its proper divisors (11525745841708).

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

8002484013524 is a wasteful number, since it uses less digits than its factorization.

8002484013524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24947 (or 24938 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 8002484013524 in words is "eight trillion, two billion, four hundred eighty-four million, thirteen thousand, five hundred twenty-four".