230084349096 has 256 divisors, whose sum is σ = 729103564800. Its totient is φ = 58990415616.

The previous prime is 230084349083. The next prime is 230084349097. The reversal of 230084349096 is 690943480032.

It is a super-3 number, since 3×230084349096³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (230084349097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7546635 + ... + 7577061.

It is an arithmetic number, because the mean of its divisors is an integer number (2848060800).

Almost surely, 2^230084349096 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 230084349096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364551782400).

230084349096 is an abundant number, since it is smaller than the sum of its proper divisors (499019215704).

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

230084349096 is a wasteful number, since it uses less digits than its factorization.

230084349096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30588 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 230084349096 in words is "two hundred thirty billion, eighty-four million, three hundred forty-nine thousand, ninety-six".