22966253352 has 240 divisors, whose sum is σ = 75005288820. Its totient is φ = 6546355200.

The previous prime is 22966253351. The next prime is 22966253369. The reversal of 22966253352 is 25335266922.

22966253352 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 62 + 533 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21032540676 + 1933712676 = 145026^2 + 43974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22966253298 and 22966253307.

It is not an unprimeable number, because it can be changed into a prime (22966253351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26067952 + ... + 26068832.

Almost surely, 2^22966253352 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 22966253352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37502644410).

22966253352 is an abundant number, since it is smaller than the sum of its proper divisors (52039035468).

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

22966253352 is a wasteful number, since it uses less digits than its factorization.

22966253352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 22966253352 in words is "twenty-two billion, nine hundred sixty-six million, two hundred fifty-three thousand, three hundred fifty-two".