464331242133464 has 128 divisors (see below), whose sum is σ = 933434170099200. Its totient is φ = 216012956544000.

The previous prime is 464331242133461. The next prime is 464331242133571.

464331242133464 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464331242133461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21664303292 + ... + 21664324724.

It is an arithmetic number, because the mean of its divisors is an integer number (7292454453900).

Almost surely, 2^{464331242133464} is an apocalyptic number.

It is an amenable number.

464331242133464 is an abundant number, since it is smaller than the sum of its proper divisors (469102927965736).

464331242133464 is a wasteful number, since it uses less digits than its factorization.

464331242133464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32665 (or 32661 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

The spelling of 464331242133464 in words is "four hundred sixty-four trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred sixty-four".