8331938808480 has 360 divisors, whose sum is σ = 34205587108308. Its totient is φ = 1904443011072.

The previous prime is 8331938808371. The next prime is 8331938808491. The reversal of 8331938808480 is 848088391338.

8331938808480 is a `hidden beast` number, since 8 + 33 + 19 + 38 + 80 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8315356580496 + 16582227984 = 2883636^2 + 128772^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 5925129 + ... + 7195208.

Almost surely, 2^{8331938808480} is an apocalyptic number.

8331938808480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8331938808480 is an abundant number, since it is smaller than the sum of its proper divisors (25873648299828).

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

8331938808480 is a wasteful number, since it uses less digits than its factorization.

8331938808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120378 (or 13120354 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8331938808480 in words is "eight trillion, three hundred thirty-one billion, nine hundred thirty-eight million, eight hundred eight thousand, four hundred eighty".