22258289664 has 396 divisors, whose sum is σ = 71995315392. Its totient is φ = 6613401600.

The previous prime is 22258289639. The next prime is 22258289717. The reversal of 22258289664 is 46698285222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22258289664.

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 35 ways as a sum of consecutive naturals, for example, 48282394 + ... + 48282854.

It is an arithmetic number, because the mean of its divisors is an integer number (181806352).

Almost surely, 2^22258289664 is an apocalyptic number.

22258289664 is a gapful number since it is divisible by the number (24) 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 22258289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997657696).

22258289664 is an abundant number, since it is smaller than the sum of its proper divisors (49737025728).

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

22258289664 is a wasteful number, since it uses less digits than its factorization.

22258289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 510 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 22258289664 in words is "twenty-two billion, two hundred fifty-eight million, two hundred eighty-nine thousand, six hundred sixty-four".