8910213984 has 288 divisors, whose sum is σ = 30738839040. Its totient is φ = 2393081856.

The previous prime is 8910213973. The next prime is 8910214009. The reversal of 8910213984 is 4893120198.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734084 + ... + 2737340.

It is an arithmetic number, because the mean of its divisors is an integer number (106732080).

Almost surely, 2^8910213984 is an apocalyptic number.

8910213984 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 8910213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369419520).

8910213984 is an abundant number, since it is smaller than the sum of its proper divisors (21828625056).

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

8910213984 is a wasteful number, since it uses less digits than its factorization.

8910213984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8910213984 is about 94393.9298048344. The cubic root of 8910213984 is about 2073.1435650546.

The spelling of 8910213984 in words is "eight billion, nine hundred ten million, two hundred thirteen thousand, nine hundred eighty-four".