8481385356864 has 336 divisors, whose sum is σ = 27255474421632. Its totient is φ = 2279700430848.

The previous prime is 8481385356853. The next prime is 8481385356889. The reversal of 8481385356864 is 4686535831848.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404897654 + ... + 1404903690.

Almost surely, 2^{8481385356864} is an apocalyptic number.

8481385356864 is a gapful number since it is divisible by the number (84) 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 8481385356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627737210816).

8481385356864 is an abundant number, since it is smaller than the sum of its proper divisors (18774089064768).

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

8481385356864 is a wasteful number, since it uses less digits than its factorization.

8481385356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9710 (or 9683 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 69.

The spelling of 8481385356864 in words is "eight trillion, four hundred eighty-one billion, three hundred eighty-five million, three hundred fifty-six thousand, eight hundred sixty-four".