22035793248 has 288 divisors, whose sum is σ = 75620563200. Its totient is φ = 5946006528.

The previous prime is 22035793237. The next prime is 22035793249. The reversal of 22035793248 is 84239753022.

22035793248 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 579 + 32 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22035793249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16048690 + ... + 16050062.

It is an arithmetic number, because the mean of its divisors is an integer number (262571400).

Almost surely, 2^22035793248 is an apocalyptic number.

22035793248 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 22035793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810281600).

22035793248 is an abundant number, since it is smaller than the sum of its proper divisors (53584769952).

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

22035793248 is a wasteful number, since it uses less digits than its factorization.

22035793248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22035793248 in words is "twenty-two billion, thirty-five million, seven hundred ninety-three thousand, two hundred forty-eight".