228686561280 has 480 divisors, whose sum is σ = 824431608000. Its totient is φ = 60813213696.

The previous prime is 228686561221. The next prime is 228686561377. The reversal of 228686561280 is 82165686822.

It is a happy number.

228686561280 is a `hidden beast` number, since 2 + 286 + 86 + 5 + 6 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009741 + ... + 637010099.

It is an arithmetic number, because the mean of its divisors is an integer number (1717565850).

Almost surely, 2^228686561280 is an apocalyptic number.

228686561280 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 228686561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412215804000).

228686561280 is an abundant number, since it is smaller than the sum of its proper divisors (595745046720).

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

228686561280 is an frugal number, since it uses more digits than its factorization.

228686561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 228686561280 in words is "two hundred twenty-eight billion, six hundred eighty-six million, five hundred sixty-one thousand, two hundred eighty".