22765583349 has 48 divisors (see below), whose sum is σ = 33732661248. Its totient is φ = 14791140000.

The previous prime is 22765583329. The next prime is 22765583359. The reversal of 22765583349 is 94338556722.

22765583349 is a `hidden beast` number, since 2 + 27 + 6 + 5 + 583 + 34 + 9 = 666.

It is not a de Polignac number, because 22765583349 - 2¹¹ = 22765581301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22765583295 and 22765583304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22765583329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36078264 + ... + 36078894.

It is an arithmetic number, because the mean of its divisors is an integer number (702763776).

Almost surely, 2^22765583349 is an apocalyptic number.

It is an amenable number.

22765583349 is a deficient number, since it is larger than the sum of its proper divisors (10967077899).

22765583349 is a wasteful number, since it uses less digits than its factorization.

22765583349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1267 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 22765583349 in words is "twenty-two billion, seven hundred sixty-five million, five hundred eighty-three thousand, three hundred forty-nine".