230088880032 has 144 divisors (see below), whose sum is σ = 664225450560. Its totient is φ = 69687889920.

The previous prime is 230088880031. The next prime is 230088880067.

230088880032 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×230088880032³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (230088880031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30116469 + ... + 30124107.

It is an arithmetic number, because the mean of its divisors is an integer number (4612676740).

Almost surely, 2^230088880032 is an apocalyptic number.

230088880032 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 230088880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332112725280).

230088880032 is an abundant number, since it is smaller than the sum of its proper divisors (434136570528).

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

230088880032 is a wasteful number, since it uses less digits than its factorization.

230088880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 230088880032 in words is "two hundred thirty billion, eighty-eight million, eight hundred eighty thousand, thirty-two".