228583518240000 has 1080 divisors, whose sum is σ = 964724768729568. Its totient is φ = 47497820160000.

The previous prime is 228583518239969. The next prime is 228583518240043. The reversal of 228583518240000 is 42815385822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 258278242 + ... + 259161758.

Almost surely, 2^{228583518240000} is an apocalyptic number.

228583518240000 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 228583518240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482362384364784).

228583518240000 is an abundant number, since it is smaller than the sum of its proper divisors (736141250489568).

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

228583518240000 is an equidigital number, since it uses as much as digits as its factorization.

228583518240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883581 (or 883545 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 228583518240000 in words is "two hundred twenty-eight trillion, five hundred eighty-three billion, five hundred eighteen million, two hundred forty thousand".