9216822764160 has 1920 divisors, whose sum is σ = 37678635086400. Its totient is φ = 2146748313600.

The previous prime is 9216822764147. The next prime is 9216822764161. The reversal of 9216822764160 is 614672286129.

9216822764160 is a `hidden beast` number, since 9 + 216 + 8 + 2 + 2 + 7 + 6 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9216822764097 and 9216822764106.

It is not an unprimeable number, because it can be changed into a prime (9216822764161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66308077371 + ... + 66308077509.

Almost surely, 2^{9216822764160} is an apocalyptic number.

9216822764160 is a gapful number since it is divisible by the number (90) 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 9216822764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839317543200).

9216822764160 is an abundant number, since it is smaller than the sum of its proper divisors (28461812322240).

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

9216822764160 is a wasteful number, since it uses less digits than its factorization.

9216822764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9216822764160 in words is "nine trillion, two hundred sixteen billion, eight hundred twenty-two million, seven hundred sixty-four thousand, one hundred sixty".