228183411456 has 432 divisors, whose sum is σ = 883355316480. Its totient is φ = 54708756480.

The previous prime is 228183411433. The next prime is 228183411457. The reversal of 228183411456 is 654114381822.

228183411456 is a `hidden beast` number, since 2 + 2 + 8 + 183 + 4 + 11 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (228183411457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2256835 + ... + 2355773.

Almost surely, 2^228183411456 is an apocalyptic number.

228183411456 is a gapful number since it is divisible by the number (26) 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 228183411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441677658240).

228183411456 is an abundant number, since it is smaller than the sum of its proper divisors (655171905024).

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

228183411456 is a wasteful number, since it uses less digits than its factorization.

228183411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98992 (or 98975 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 228183411456 in words is "two hundred twenty-eight billion, one hundred eighty-three million, four hundred eleven thousand, four hundred fifty-six".