230414414032 has 80 divisors (see below), whose sum is σ = 492233852160. Its totient is φ = 103612608000.

The previous prime is 230414414017. The next prime is 230414414053.

230414414032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25290694 + ... + 25299802.

It is an arithmetic number, because the mean of its divisors is an integer number (6152923152).

Almost surely, 2^230414414032 is an apocalyptic number.

230414414032 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 230414414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246116926080).

230414414032 is an abundant number, since it is smaller than the sum of its proper divisors (261819438128).

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

230414414032 is a wasteful number, since it uses less digits than its factorization.

230414414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 230414 and 414032, that added together give a palindrome (644446).

The spelling of 230414414032 in words is "two hundred thirty billion, four hundred fourteen million, four hundred fourteen thousand, thirty-two".