9016222924800 has 4320 divisors, whose sum is σ = 44705889751040. Its totient is φ = 1732666982400.

The previous prime is 9016222924789. The next prime is 9016222924801. The reversal of 9016222924800 is 84292226109.

9016222924800 is a `hidden beast` number, since 9 + 0 + 1 + 62 + 22 + 92 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9016222924801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 290845900785 + ... + 290845900815.

Almost surely, 2^{9016222924800} is an apocalyptic number.

9016222924800 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 9016222924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352944875520).

9016222924800 is an abundant number, since it is smaller than the sum of its proper divisors (35689666826240).

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

9016222924800 is a wasteful number, since it uses less digits than its factorization.

9016222924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 9016222924800 in words is "nine trillion, sixteen billion, two hundred twenty-two million, nine hundred twenty-four thousand, eight hundred".