22435636608 has 640 divisors, whose sum is σ = 84241555200. Its totient is φ = 5757972480.

The previous prime is 22435636607. The next prime is 22435636633. The reversal of 22435636608 is 80663653422.

It is a happy number.

22435636608 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 6 + 36 + 608 = 666.

It is a super-3 number, since 3×22435636608³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22435636607) 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 79 ways as a sum of consecutive naturals, for example, 125338663 + ... + 125338841.

It is an arithmetic number, because the mean of its divisors is an integer number (131627430).

Almost surely, 2^22435636608 is an apocalyptic number.

22435636608 is a gapful number since it is divisible by the number (28) 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 22435636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120777600).

22435636608 is an abundant number, since it is smaller than the sum of its proper divisors (61805918592).

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

22435636608 is a wasteful number, since it uses less digits than its factorization.

22435636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 22435636608 in words is "twenty-two billion, four hundred thirty-five million, six hundred thirty-six thousand, six hundred eight".