22451652608 has 324 divisors, whose sum is σ = 58766661135. Its totient is φ = 8543969280.

The previous prime is 22451652569. The next prime is 22451652617. The reversal of 22451652608 is 80625615422.

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 only one way, i.e., 11225826304 + 11225826304 = 105952^2 + 105952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 522131435 + ... + 522131477.

Almost surely, 2^22451652608 is an apocalyptic number.

22451652608 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 22451652608

22451652608 is an abundant number, since it is smaller than the sum of its proper divisors (36315008527).

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

22451652608 is an equidigital number, since it uses as much as digits as its factorization.

22451652608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 22451652608 in words is "twenty-two billion, four hundred fifty-one million, six hundred fifty-two thousand, six hundred eight".