464432234464 has 48 divisors (see below), whose sum is σ = 997543013040. Its totient is φ = 211090908160.

The previous prime is 464432234443. The next prime is 464432234479.

464432234464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6267132 + ... + 6340804.

It is an arithmetic number, because the mean of its divisors is an integer number (20782146105).

Almost surely, 2^464432234464 is an apocalyptic number.

464432234464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464432234464 is an abundant number, since it is smaller than the sum of its proper divisors (533110778576).

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

464432234464 is a wasteful number, since it uses less digits than its factorization.

464432234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91603 (or 91595 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 464432 and 234464, that added together give a palindrome (698896).

The spelling of 464432234464 in words is "four hundred sixty-four billion, four hundred thirty-two million, two hundred thirty-four thousand, four hundred sixty-four".