228752315193600 has 2187 divisors, whose sum is σ = 957781350941961. Its totient is φ = 52038166118400.

The previous prime is 228752315193559. The next prime is 228752315193607. The reversal of 228752315193600 is 6391513257822.

The square root of 228752315193600 is 15124560.

It is a perfect power (a square), and thus also a powerful number.

228752315193600 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 5 + 2 + 3 + 15 + 19 + 3 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 133915257374976 + 94837057818624 = 11572176^2 + 9738432^2 .

It is not an unprimeable number, because it can be changed into a prime (228752315193607) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 678790252632 + ... + 678790252968.

Almost surely, 2^{228752315193600} is an apocalyptic number.

228752315193600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228752315193600 is the 15124560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228752315193600

228752315193600 is an abundant number, since it is smaller than the sum of its proper divisors (729029035748361).

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

228752315193600 is a wasteful number, since it uses less digits than its factorization.

228752315193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 228752315193600 in words is "two hundred twenty-eight trillion, seven hundred fifty-two billion, three hundred fifteen million, one hundred ninety-three thousand, six hundred".