8013242485248 has 320 divisors, whose sum is σ = 28662757466112. Its totient is φ = 1921256570880.

The previous prime is 8013242485231. The next prime is 8013242485277. The reversal of 8013242485248 is 8425842423108.

It is a self number, because there is not a number n which added to its sum of digits gives 8013242485248.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1068336 + ... + 4143407.

Almost surely, 2^{8013242485248} is an apocalyptic number.

8013242485248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013242485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331378733056).

8013242485248 is an abundant number, since it is smaller than the sum of its proper divisors (20649514980864).

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

8013242485248 is a wasteful number, since it uses less digits than its factorization.

8013242485248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211795 (or 5211779 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 8013242485248 in words is "eight trillion, thirteen billion, two hundred forty-two million, four hundred eighty-five thousand, two hundred forty-eight".