230461262164032 has 56 divisors (see below), whose sum is σ = 611722739439552. Its totient is φ = 76573409702400.

The previous prime is 230461262163887. The next prime is 230461262164033.

It is a happy number.

230461262164032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230461262164032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230461262164033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929713719 + ... + 1929833142.

Almost surely, 2^{230461262164032} is an apocalyptic number.

It is an amenable number.

230461262164032 is an abundant number, since it is smaller than the sum of its proper divisors (381261477275520).

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

230461262164032 is a wasteful number, since it uses less digits than its factorization.

230461262164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859547187 (or 3859547177 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 230461262164032 in words is "two hundred thirty trillion, four hundred sixty-one billion, two hundred sixty-two million, one hundred sixty-four thousand, thirty-two".