22668817248 has 384 divisors, whose sum is σ = 83112099840. Its totient is φ = 5839464960.

The previous prime is 22668817211. The next prime is 22668817253. The reversal of 22668817248 is 84271886622.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22668817194 and 22668817203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8447715 + ... + 8450397.

It is an arithmetic number, because the mean of its divisors is an integer number (216437760).

Almost surely, 2^22668817248 is an apocalyptic number.

22668817248 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 22668817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556049920).

22668817248 is an abundant number, since it is smaller than the sum of its proper divisors (60443282592).

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

22668817248 is a wasteful number, since it uses less digits than its factorization.

22668817248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2833 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 22668817248 in words is "twenty-two billion, six hundred sixty-eight million, eight hundred seventeen thousand, two hundred forty-eight".