228774712320 has 1584 divisors, whose sum is σ = 1029209590656. Its totient is φ = 46448640000.

The previous prime is 228774712303. The next prime is 228774712351. The reversal of 228774712320 is 23217477822.

228774712320 is a `hidden beast` number, since 2 + 287 + 7 + 47 + 1 + 2 + 320 = 666.

228774712320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1515064245 + ... + 1515064395.

Almost surely, 2^228774712320 is an apocalyptic number.

228774712320 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 228774712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514604795328).

228774712320 is an abundant number, since it is smaller than the sum of its proper divisors (800434878336).

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

228774712320 is a wasteful number, since it uses less digits than its factorization.

228774712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 228774712320 in words is "two hundred twenty-eight billion, seven hundred seventy-four million, seven hundred twelve thousand, three hundred twenty".