22456683648 has 192 divisors, whose sum is σ = 76589123520. Its totient is φ = 6416133120.

The previous prime is 22456683611. The next prime is 22456683659. The reversal of 22456683648 is 84638665422.

It is a happy number.

22456683648 is a `hidden beast` number, since 2 + 2 + 4 + 566 + 8 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22456683594 and 22456683603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166158 + ... + 269298.

It is an arithmetic number, because the mean of its divisors is an integer number (398901685).

Almost surely, 2^22456683648 is an apocalyptic number.

22456683648 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 22456683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294561760).

22456683648 is an abundant number, since it is smaller than the sum of its proper divisors (54132439872).

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

22456683648 is an equidigital number, since it uses as much as digits as its factorization.

22456683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103177 (or 103153 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 22456683648 in words is "twenty-two billion, four hundred fifty-six million, six hundred eighty-three thousand, six hundred forty-eight".