228411654900 has 576 divisors, whose sum is σ = 848681680896. Its totient is φ = 46550016000.

The previous prime is 228411654857. The next prime is 228411654901. The reversal of 228411654900 is 9456114822.

228411654900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228411654901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22603249 + ... + 22613351.

It is an arithmetic number, because the mean of its divisors is an integer number (1473405696).

Almost surely, 2^228411654900 is an apocalyptic number.

228411654900 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 228411654900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424340840448).

228411654900 is an abundant number, since it is smaller than the sum of its proper divisors (620270025996).

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

228411654900 is a wasteful number, since it uses less digits than its factorization.

228411654900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 228411654900 in words is "two hundred twenty-eight billion, four hundred eleven million, six hundred fifty-four thousand, nine hundred".