228964413312 has 288 divisors, whose sum is σ = 695922060600. Its totient is φ = 75011650560.

The previous prime is 228964413299. The next prime is 228964413347. The reversal of 228964413312 is 213314469822.

228964413312 is a `hidden beast` number, since 2 + 289 + 6 + 44 + 13 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49546362 + ... + 49550982.

Almost surely, 2^228964413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228964413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347961030300).

228964413312 is an abundant number, since it is smaller than the sum of its proper divisors (466957647288).

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

228964413312 is an frugal number, since it uses more digits than its factorization.

228964413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4685 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 228964413312 in words is "two hundred twenty-eight billion, nine hundred sixty-four million, four hundred thirteen thousand, three hundred twelve".