230758226288640 has 168 divisors, whose sum is σ = 799913026615248. Its totient is φ = 61535526912000.

The previous prime is 230758226288617. The next prime is 230758226288663. The reversal of 230758226288640 is 46882622857032.

It is a happy number.

230758226288640 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 582 + 2 + 6 + 2 + 8 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (230758226288617) and next prime (230758226288663).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312617236 + ... + 313354515.

It is an arithmetic number, because the mean of its divisors is an integer number (4761387063186).

Almost surely, 2^{230758226288640} is an apocalyptic number.

230758226288640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230758226288640 is an abundant number, since it is smaller than the sum of its proper divisors (569154800326608).

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

230758226288640 is an equidigital number, since it uses as much as digits as its factorization.

230758226288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625971788 (or 625971761 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 230758226288640 in words is "two hundred thirty trillion, seven hundred fifty-eight billion, two hundred twenty-six million, two hundred eighty-eight thousand, six hundred forty".