22417760768 has 90 divisors (see below), whose sum is σ = 48597771519. Its totient is φ = 10326331392.

The previous prime is 22417760741. The next prime is 22417760777. The reversal of 22417760768 is 86706771422.

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 can be written as a sum of positive squares in 5 ways, for example, as 10041643264 + 12376117504 = 100208^2 + 111248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105872.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 44042498 + ... + 44043006.

Almost surely, 2^22417760768 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 22417760768

22417760768 is an abundant number, since it is smaller than the sum of its proper divisors (26180010751).

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

22417760768 is an frugal number, since it uses more digits than its factorization.

22417760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

Multiplying 22417760768 by its sum of digits (50), we get a square (1120888038400 = 1058720²).

The spelling of 22417760768 in words is "twenty-two billion, four hundred seventeen million, seven hundred sixty thousand, seven hundred sixty-eight".