230775319296 has 144 divisors (see below), whose sum is σ = 690870119520. Its totient is φ = 76924919808.

The previous prime is 230775319289. The next prime is 230775319297. The reversal of 230775319296 is 692913577032.

230775319296 is a `hidden beast` number, since 2 + 30 + 7 + 7 + 5 + 319 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230775319297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353776 + ... + 765968.

Almost surely, 2^230775319296 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 230775319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345435059760).

230775319296 is an abundant number, since it is smaller than the sum of its proper divisors (460094800224).

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

230775319296 is an frugal number, since it uses more digits than its factorization.

230775319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412230 (or 412198 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 230775319296 in words is "two hundred thirty billion, seven hundred seventy-five million, three hundred nineteen thousand, two hundred ninety-six".