228145227264 has 280 divisors, whose sum is σ = 686769918912. Its totient is φ = 75679764480.

The previous prime is 228145227209. The next prime is 228145227293. The reversal of 228145227264 is 462722541822.

228145227264 is a `hidden beast` number, since 2 + 28 + 145 + 227 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83232934 + ... + 83235674.

Almost surely, 2^228145227264 is an apocalyptic number.

228145227264 is a gapful number since it is divisible by the number (24) 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 228145227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343384959456).

228145227264 is an abundant number, since it is smaller than the sum of its proper divisors (458624691648).

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

228145227264 is an frugal number, since it uses more digits than its factorization.

228145227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2969 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 228145227264 in words is "two hundred twenty-eight billion, one hundred forty-five million, two hundred twenty-seven thousand, two hundred sixty-four".