8984971984464 has 240 divisors, whose sum is σ = 31135731149952. Its totient is φ = 2359937728512.

The previous prime is 8984971984463. The next prime is 8984971984537. The reversal of 8984971984464 is 4644891794898.

8984971984464 is a `hidden beast` number, since 8 + 9 + 8 + 4 + 9 + 71 + 9 + 84 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8984971984463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5360049 + ... + 6833744.

Almost surely, 2^{8984971984464} is an apocalyptic number.

8984971984464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8984971984464 is an abundant number, since it is smaller than the sum of its proper divisors (22150759165488).

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

8984971984464 is a wasteful number, since it uses less digits than its factorization.

8984971984464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193874 (or 12193865 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 8984971984464 in words is "eight trillion, nine hundred eighty-four billion, nine hundred seventy-one million, nine hundred eighty-four thousand, four hundred sixty-four".