230133116327008 has 96 divisors (see below), whose sum is σ = 469995070628160. Its totient is φ = 110832103065600.

The previous prime is 230133116326987. The next prime is 230133116327069. The reversal of 230133116327008 is 800723611331032.

It is a super-2 number, since 2×230133116327008² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846399210 + ... + 846671062.

It is an arithmetic number, because the mean of its divisors is an integer number (4895781985710).

Almost surely, 2^{230133116327008} 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 230133116327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234997535314080).

230133116327008 is an abundant number, since it is smaller than the sum of its proper divisors (239861954301152).

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

230133116327008 is a wasteful number, since it uses less digits than its factorization.

230133116327008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279080 (or 279072 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 230133116327008 in words is "two hundred thirty trillion, one hundred thirty-three billion, one hundred sixteen million, three hundred twenty-seven thousand, eight".