23222948284800 has 1152 divisors, whose sum is σ = 93647935836000. Its totient is φ = 5430509568000.

The previous prime is 23222948284799. The next prime is 23222948284831. The reversal of 23222948284800 is 848284922232.

23222948284800 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 9 + 482 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×23222948284800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1155993156 + ... + 1156013244.

Almost surely, 2^{23222948284800} is an apocalyptic number.

23222948284800 is a gapful number since it is divisible by the number (20) 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 23222948284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46823967918000).

23222948284800 is an abundant number, since it is smaller than the sum of its proper divisors (70424987551200).

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

23222948284800 is a wasteful number, since it uses less digits than its factorization.

23222948284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20260 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 23222948284800 in words is "twenty-three trillion, two hundred twenty-two billion, nine hundred forty-eight million, two hundred eighty-four thousand, eight hundred".