22010468256 has 480 divisors, whose sum is σ = 77937552000. Its totient is φ = 5960521728.

The previous prime is 22010468251. The next prime is 22010468321. The reversal of 22010468256 is 65286401022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22010468256.

It is not an unprimeable number, because it can be changed into a prime (22010468251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31044030 + ... + 31044738.

It is an arithmetic number, because the mean of its divisors is an integer number (162369900).

Almost surely, 2^22010468256 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 22010468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38968776000).

22010468256 is an abundant number, since it is smaller than the sum of its proper divisors (55927083744).

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

22010468256 is a wasteful number, since it uses less digits than its factorization.

22010468256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 22010468256 its reverse (65286401022), we get a palindrome (87296869278).

The spelling of 22010468256 in words is "twenty-two billion, ten million, four hundred sixty-eight thousand, two hundred fifty-six".