9218821464 has 128 divisors (see below), whose sum is σ = 26369280000. Its totient is φ = 2982355200.

The previous prime is 9218821457. The next prime is 9218821511. The reversal of 9218821464 is 4641288129.

9218821464 is a `hidden beast` number, since 9 + 2 + 188 + 2 + 1 + 464 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759729 + ... + 1764959.

It is an arithmetic number, because the mean of its divisors is an integer number (206010000).

Almost surely, 2^9218821464 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 9218821464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184640000).

9218821464 is an abundant number, since it is smaller than the sum of its proper divisors (17150458536).

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

9218821464 is a wasteful number, since it uses less digits than its factorization.

9218821464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5476 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9218821464 is about 96014.6940004497. The cubic root of 9218821464 is about 2096.8070497722.

The spelling of 9218821464 in words is "nine billion, two hundred eighteen million, eight hundred twenty-one thousand, four hundred sixty-four".