464433525334464 has 224 divisors, whose sum is σ = 1446331796444160. Its totient is φ = 128749293821952.

The previous prime is 464433525334459. The next prime is 464433525334469.

464433525334464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (464433525334459) and next prime (464433525334469).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 464433525334398 and 464433525334407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464433525334469) 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, 4844724 + ... + 30859980.

Almost surely, 2^{464433525334464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464433525334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723165898222080).

464433525334464 is an abundant number, since it is smaller than the sum of its proper divisors (981898271109696).

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

464433525334464 is a wasteful number, since it uses less digits than its factorization.

464433525334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26015675 (or 26015665 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 60.

The spelling of 464433525334464 in words is "four hundred sixty-four trillion, four hundred thirty-three billion, five hundred twenty-five million, three hundred thirty-four thousand, four hundred sixty-four".