228803865834240 has 576 divisors, whose sum is σ = 839044644641280. Its totient is φ = 59005333094400.

The previous prime is 228803865834163. The next prime is 228803865834241. The reversal of 228803865834240 is 42438568308822.

It is a happy number.

228803865834240 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 3 + 8 + 6 + 583 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (228803865834241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149331879 + ... + 150856281.

It is an arithmetic number, because the mean of its divisors is an integer number (1456674730280).

Almost surely, 2^{228803865834240} is an apocalyptic number.

228803865834240 is a gapful number since it is divisible by the number (20) 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 228803865834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419522322320640).

228803865834240 is an abundant number, since it is smaller than the sum of its proper divisors (610240778807040).

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

228803865834240 is a wasteful number, since it uses less digits than its factorization.

228803865834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524577 (or 1524557 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 228803865834240 in words is "two hundred twenty-eight trillion, eight hundred three billion, eight hundred sixty-five million, eight hundred thirty-four thousand, two hundred forty".