228509632512 has 324 divisors, whose sum is σ = 769258579635. Its totient is φ = 65158668288.

The previous prime is 228509632493. The next prime is 228509632541. The reversal of 228509632512 is 215236905822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228509632512 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 0 + 9 + 632 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114254816256 + 114254816256 = 338016^2 + 338016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 454293253 + ... + 454293755.

Almost surely, 2^228509632512 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 228509632512

228509632512 is an abundant number, since it is smaller than the sum of its proper divisors (540748947123).

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

228509632512 is an frugal number, since it uses more digits than its factorization.

228509632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 228509632512 in words is "two hundred twenty-eight billion, five hundred nine million, six hundred thirty-two thousand, five hundred twelve".