230006141600032 has 96 divisors (see below), whose sum is σ = 547969097475072. Its totient is φ = 92773336449024.

The previous prime is 230006141600021. The next prime is 230006141600033.

230006141600032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230006141600033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160987888 + ... + 162410320.

It is an arithmetic number, because the mean of its divisors is an integer number (5708011432032).

Almost surely, 2^{230006141600032} is an apocalyptic number.

It is an amenable number.

230006141600032 is an abundant number, since it is smaller than the sum of its proper divisors (317962955875040).

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

230006141600032 is a wasteful number, since it uses less digits than its factorization.

230006141600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464930 (or 1464922 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 230006141600032 in words is "two hundred thirty trillion, six billion, one hundred forty-one million, six hundred thousand, thirty-two".