230636609280 has 864 divisors, whose sum is σ = 1028253004800. Its totient is φ = 47918407680.

The previous prime is 230636609263. The next prime is 230636609293. The reversal of 230636609280 is 82906636032.

230636609280 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 36 + 609 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 29268381 + ... + 29276259.

Almost surely, 2^230636609280 is an apocalyptic number.

230636609280 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 230636609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514126502400).

230636609280 is an abundant number, since it is smaller than the sum of its proper divisors (797616395520).

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

230636609280 is a wasteful number, since it uses less digits than its factorization.

230636609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 230636609280 in words is "two hundred thirty billion, six hundred thirty-six million, six hundred nine thousand, two hundred eighty".