228443398249248 has 1536 divisors, whose sum is σ = 876705177600000. Its totient is φ = 57433058242560.

The previous prime is 228443398249211. The next prime is 228443398249249. The reversal of 228443398249248 is 842942893344822.

228443398249248 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 4 + 3 + 3 + 98 + 2 + 492 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (228443398249249) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8001786078 + ... + 8001814626.

It is an arithmetic number, because the mean of its divisors is an integer number (570771600000).

Almost surely, 2^{228443398249248} is an apocalyptic number.

228443398249248 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 228443398249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438352588800000).

228443398249248 is an abundant number, since it is smaller than the sum of its proper divisors (648261779350752).

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

228443398249248 is a wasteful number, since it uses less digits than its factorization.

228443398249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28700 (or 28672 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 228443398249248 in words is "two hundred twenty-eight trillion, four hundred forty-three billion, three hundred ninety-eight million, two hundred forty-nine thousand, two hundred forty-eight".