22842465288192 has 2048 divisors, whose sum is σ = 83710319616000. Its totient is φ = 6072827904000.

The previous prime is 22842465288191. The next prime is 22842465288341. The reversal of 22842465288192 is 29188256424822.

22842465288192 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 2 + 465 + 2 + 8 + 81 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×22842465288192² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22842465288191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174369963967 + ... + 174369964097.

It is an arithmetic number, because the mean of its divisors is an integer number (40874179500).

Almost surely, 2^{22842465288192} is an apocalyptic number.

22842465288192 is a gapful number since it is divisible by the number (22) 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 22842465288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855159808000).

22842465288192 is an abundant number, since it is smaller than the sum of its proper divisors (60867854327808).

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

22842465288192 is a wasteful number, since it uses less digits than its factorization.

22842465288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 230 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 22842465288192 in words is "twenty-two trillion, eight hundred forty-two billion, four hundred sixty-five million, two hundred eighty-eight thousand, one hundred ninety-two".