22445301312 has 448 divisors, whose sum is σ = 80109568000. Its totient is φ = 6019743744.

The previous prime is 22445301301. The next prime is 22445301353. The reversal of 22445301312 is 21310354422.

22445301312 is a `hidden beast` number, since 2 + 2 + 4 + 45 + 301 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29187264 + ... + 29188032.

It is an arithmetic number, because the mean of its divisors is an integer number (178816000).

Almost surely, 2^22445301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22445301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40054784000).

22445301312 is an abundant number, since it is smaller than the sum of its proper divisors (57664266688).

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

22445301312 is a wasteful number, since it uses less digits than its factorization.

22445301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22445301312 its reverse (21310354422), we get a palindrome (43755655734).

The spelling of 22445301312 in words is "twenty-two billion, four hundred forty-five million, three hundred one thousand, three hundred twelve".