22284884160 has 1792 divisors, whose sum is σ = 108147916800. Its totient is φ = 4180377600.

The previous prime is 22284884131. The next prime is 22284884177. The reversal of 22284884160 is 6148848222.

22284884160 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 488 + 4 + 160 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 518253099 + ... + 518253141.

It is an arithmetic number, because the mean of its divisors is an integer number (60350400).

Almost surely, 2^22284884160 is an apocalyptic number.

22284884160 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 22284884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54073958400).

22284884160 is an abundant number, since it is smaller than the sum of its proper divisors (85863032640).

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

22284884160 is a wasteful number, since it uses less digits than its factorization.

22284884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22284884160 in words is "twenty-two billion, two hundred eighty-four million, eight hundred eighty-four thousand, one hundred sixty".