22024641312 has 672 divisors, whose sum is σ = 75359289600. Its totient is φ = 6288482304.

The previous prime is 22024641251. The next prime is 22024641343. The reversal of 22024641312 is 21314642022.

22024641312 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 641 + 3 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 278792889 + ... + 278792967.

It is an arithmetic number, because the mean of its divisors is an integer number (112141800).

Almost surely, 2^22024641312 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 22024641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679644800).

22024641312 is an abundant number, since it is smaller than the sum of its proper divisors (53334648288).

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

22024641312 is a wasteful number, since it uses less digits than its factorization.

22024641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22024641312 in words is "twenty-two billion, twenty-four million, six hundred forty-one thousand, three hundred twelve".