228916304640 has 432 divisors, whose sum is σ = 835343964000. Its totient is φ = 57718407168.

The previous prime is 228916304629. The next prime is 228916304671. The reversal of 228916304640 is 46403619822.

228916304640 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 1 + 630 + 4 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218222836 + ... + 218223884.

Almost surely, 2^228916304640 is an apocalyptic number.

228916304640 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 228916304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417671982000).

228916304640 is an abundant number, since it is smaller than the sum of its proper divisors (606427659360).

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

228916304640 is a wasteful number, since it uses less digits than its factorization.

228916304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2075 counting only the distinct ones).

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

The spelling of 228916304640 in words is "two hundred twenty-eight billion, nine hundred sixteen million, three hundred four thousand, six hundred forty".