8018091348480 has 200 divisors, whose sum is σ = 28718270458812. Its totient is φ = 2138157637632.

The previous prime is 8018091348479. The next prime is 8018091348481. The reversal of 8018091348480 is 848431908108.

8018091348480 is a `hidden beast` number, since 8 + 0 + 1 + 80 + 9 + 1 + 3 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8018091348479) and next prime (8018091348481).

It can be written as a sum of positive squares in 2 ways, for example, as 7264361781504 + 753729566976 = 2695248^2 + 868176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8018091348481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19126387 + ... + 19541106.

Almost surely, 2^{8018091348480} is an apocalyptic number.

8018091348480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8018091348480 is an abundant number, since it is smaller than the sum of its proper divisors (20700179110332).

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

8018091348480 is an equidigital number, since it uses as much as digits as its factorization.

8018091348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38667528 (or 38667503 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 8018091348480 in words is "eight trillion, eighteen billion, ninety-one million, three hundred forty-eight thousand, four hundred eighty".