230462565264032 has 48 divisors (see below), whose sum is σ = 464985866489760. Its totient is φ = 112379124302592.

The previous prime is 230462565263939. The next prime is 230462565264101.

230462565264032 is nontrivially palindromic in base 10.

230462565264032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230462565264032² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127345982 + ... + 129143037.

It is an arithmetic number, because the mean of its divisors is an integer number (9687205551870).

Almost surely, 2^{230462565264032} is an apocalyptic number.

It is an amenable number.

230462565264032 is an abundant number, since it is smaller than the sum of its proper divisors (234523301225728).

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

230462565264032 is a wasteful number, since it uses less digits than its factorization.

230462565264032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256489725 (or 256489717 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 50.

The spelling of 230462565264032 in words is "two hundred thirty trillion, four hundred sixty-two billion, five hundred sixty-five million, two hundred sixty-four thousand, thirty-two".