22283432864 has 288 divisors, whose sum is σ = 59291144640. Its totient is φ = 8128512000.

The previous prime is 22283432863. The next prime is 22283432881. The reversal of 22283432864 is 46823438222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (22283432863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31787714 + ... + 31788414.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 2^22283432864 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 22283432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645572320).

22283432864 is an abundant number, since it is smaller than the sum of its proper divisors (37007711776).

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

22283432864 is a wasteful number, since it uses less digits than its factorization.

22283432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 22283432864 in words is "twenty-two billion, two hundred eighty-three million, four hundred thirty-two thousand, eight hundred sixty-four".