22251972768 has 48 divisors (see below), whose sum is σ = 58871393280. Its totient is φ = 7358916096.

The previous prime is 22251972761. The next prime is 22251972773. The reversal of 22251972768 is 86727915222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22251972768.

It is not an unprimeable number, because it can be changed into a prime (22251972761) 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 7 ways as a sum of consecutive naturals, for example, 900373 + ... + 924756.

It is an arithmetic number, because the mean of its divisors is an integer number (1226487360).

Almost surely, 2^22251972768 is an apocalyptic number.

It is an amenable number.

22251972768 is an abundant number, since it is smaller than the sum of its proper divisors (36619420512).

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

22251972768 is a wasteful number, since it uses less digits than its factorization.

22251972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825269 (or 1825261 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 22251972768 in words is "twenty-two billion, two hundred fifty-one million, nine hundred seventy-two thousand, seven hundred sixty-eight".