230412214032 has 320 divisors, whose sum is σ = 820798132224. Its totient is φ = 53750200320.

The previous prime is 230412214003. The next prime is 230412214049.

It is a happy number.

230412214032 is nontrivially palindromic in base 10.

230412214032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230412213993 and 230412214011.

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 63 ways as a sum of consecutive naturals, for example, 1712973 + ... + 1842579.

Almost surely, 2^230412214032 is an apocalyptic number.

230412214032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230412214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410399066112).

230412214032 is an abundant number, since it is smaller than the sum of its proper divisors (590385918192).

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

230412214032 is a wasteful number, since it uses less digits than its factorization.

230412214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129686 (or 129680 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 230412 and 214032, that added together give a palindrome (444444).

The spelling of 230412214032 in words is "two hundred thirty billion, four hundred twelve million, two hundred fourteen thousand, thirty-two".