464417714464 has 24 divisors (see below), whose sum is σ = 997442592048. Its totient is φ = 211098960960.

The previous prime is 464417714461. The next prime is 464417714503.

464417714464 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (464417714461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659683902 + ... + 659684605.

It is an arithmetic number, because the mean of its divisors is an integer number (41560108002).

Almost surely, 2^464417714464 is an apocalyptic number.

464417714464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464417714464 is an abundant number, since it is smaller than the sum of its proper divisors (533024877584).

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

464417714464 is a wasteful number, since it uses less digits than its factorization.

464417714464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319368528 (or 1319368520 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 52.

The spelling of 464417714464 in words is "four hundred sixty-four billion, four hundred seventeen million, seven hundred fourteen thousand, four hundred sixty-four".