8986468984416 has 480 divisors, whose sum is σ = 33414528913920. Its totient is φ = 2301268838400.

The previous prime is 8986468984399. The next prime is 8986468984429. The reversal of 8986468984416 is 6144898646898.

8986468984416 is a `hidden beast` number, since 8 + 9 + 8 + 6 + 46 + 89 + 84 + 416 = 666.

It is a super-2 number, since 2×8986468984416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13853380 + ... + 14487548.

It is an arithmetic number, because the mean of its divisors is an integer number (69613601904).

Almost surely, 2^{8986468984416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8986468984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707264456960).

8986468984416 is an abundant number, since it is smaller than the sum of its proper divisors (24428059929504).

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

8986468984416 is a wasteful number, since it uses less digits than its factorization.

8986468984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634280 (or 634263 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 81.

The spelling of 8986468984416 in words is "eight trillion, nine hundred eighty-six billion, four hundred sixty-eight million, nine hundred eighty-four thousand, four hundred sixteen".