22209045768 has 324 divisors, whose sum is σ = 76160746935. Its totient is φ = 5826981888.

The previous prime is 22209045757. The next prime is 22209045779. The reversal of 22209045768 is 86754090222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (22209045757) and next prime (22209045779).

It can be written as a sum of positive squares in 5 ways, for example, as 339959844 + 21869085924 = 18438^2 + 147882^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105378.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 115072680 + ... + 115072872.

Almost surely, 2^22209045768 is an apocalyptic number.

22209045768 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 22209045768

22209045768 is an abundant number, since it is smaller than the sum of its proper divisors (53951701167).

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

22209045768 is a wasteful number, since it uses less digits than its factorization.

22209045768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22209045768 in words is "twenty-two billion, two hundred nine million, forty-five thousand, seven hundred sixty-eight".