230256303652032 has 224 divisors, whose sum is σ = 697387979059200. Its totient is φ = 65680188306432.

The previous prime is 230256303652013. The next prime is 230256303652051.

230256303652032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (230256303652013) and next prime (230256303652051).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135052703 + ... + 2135160545.

Almost surely, 2^{230256303652032} 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 230256303652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348693989529600).

230256303652032 is an abundant number, since it is smaller than the sum of its proper divisors (467131675407168).

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

230256303652032 is a wasteful number, since it uses less digits than its factorization.

230256303652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110443 (or 110433 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 23025630 and 3652032, that added together give a palindrome (26677662).

The spelling of 230256303652032 in words is "two hundred thirty trillion, two hundred fifty-six billion, three hundred three million, six hundred fifty-two thousand, thirty-two".