228823010640 has 1440 divisors, whose sum is σ = 984037017600. Its totient is φ = 49380710400.

The previous prime is 228823010617. The next prime is 228823010651. The reversal of 228823010640 is 46010328822.

228823010640 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 3 + 0 + 1 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228823010595 and 228823010604.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 5581049020 + ... + 5581049060.

It is an arithmetic number, because the mean of its divisors is an integer number (683359040).

Almost surely, 2^228823010640 is an apocalyptic number.

228823010640 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 228823010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492018508800).

228823010640 is an abundant number, since it is smaller than the sum of its proper divisors (755214006960).

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

228823010640 is an frugal number, since it uses more digits than its factorization.

228823010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 228823010640 in words is "two hundred twenty-eight billion, eight hundred twenty-three million, ten thousand, six hundred forty".