230514464415032 has 64 divisors (see below), whose sum is σ = 505569434092800. Its totient is φ = 96471052876800.

The previous prime is 230514464415017. The next prime is 230514464415041.

230514464415032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230514464415032² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649594 + ... + 21534857.

It is an arithmetic number, because the mean of its divisors is an integer number (7899522407700).

Almost surely, 2^{230514464415032} is an apocalyptic number.

It is an amenable number.

230514464415032 is an abundant number, since it is smaller than the sum of its proper divisors (275054969677768).

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

230514464415032 is a wasteful number, since it uses less digits than its factorization.

230514464415032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23188636 (or 23188632 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 230514464415032 in words is "two hundred thirty trillion, five hundred fourteen billion, four hundred sixty-four million, four hundred fifteen thousand, thirty-two".