432664464466234 has 96 divisors (see below), whose sum is σ = 880373881916928. Its totient is φ = 155179612684800.

The previous prime is 432664464466229. The next prime is 432664464466243.

It is a happy number.

432664464466234 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×432664464466234² (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 47 ways as a sum of consecutive naturals, for example, 18684847 + ... + 34848994.

It is an arithmetic number, because the mean of its divisors is an integer number (9170561269968).

Almost surely, 2^{432664464466234} is an apocalyptic number.

432664464466234 is an abundant number, since it is smaller than the sum of its proper divisors (447709417450694).

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

432664464466234 is a wasteful number, since it uses less digits than its factorization.

432664464466234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53534252 (or 53534241 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 64.

The spelling of 432664464466234 in words is "four hundred thirty-two trillion, six hundred sixty-four billion, four hundred sixty-four million, four hundred sixty-six thousand, two hundred thirty-four".