230014410032 has 80 divisors (see below), whose sum is σ = 493868783232. Its totient is φ = 102898498560.

The previous prime is 230014409993. The next prime is 230014410047.

230014410032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230014409986 and 230014410013.

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, 13988888 + ... + 14005320.

Almost surely, 2^230014410032 is an apocalyptic number.

230014410032 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 230014410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246934391616).

230014410032 is an abundant number, since it is smaller than the sum of its proper divisors (263854373200).

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

230014410032 is a wasteful number, since it uses less digits than its factorization.

230014410032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17706 (or 17700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 230014 and 410032, that added together give a palindrome (640046).

The spelling of 230014410032 in words is "two hundred thirty billion, fourteen million, four hundred ten thousand, thirty-two".