228018133905408 has 2808 divisors, whose sum is σ = 883141815523968. Its totient is φ = 56407228416000.

The previous prime is 228018133905403. The next prime is 228018133905433. The reversal of 228018133905408 is 804509331810822.

228018133905408 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 1 + 8 + 1 + 3 + 3 + 90 + 540 + 8 = 666.

228018133905408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228018133905403) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 494616342298 + ... + 494616342758.

Almost surely, 2^{228018133905408} is an apocalyptic number.

228018133905408 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 228018133905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441570907761984).

228018133905408 is an abundant number, since it is smaller than the sum of its proper divisors (655123681618560).

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

228018133905408 is a wasteful number, since it uses less digits than its factorization.

228018133905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 228018133905408 in words is "two hundred twenty-eight trillion, eighteen billion, one hundred thirty-three million, nine hundred five thousand, four hundred eight".