463564465364 has 192 divisors, whose sum is σ = 1156039987200. Its totient is φ = 157938802560.

The previous prime is 463564465349. The next prime is 463564465369.

463564465364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463564465364² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463564465369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9180017 + ... + 9230375.

It is an arithmetic number, because the mean of its divisors is an integer number (6021041600).

Almost surely, 2^463564465364 is an apocalyptic number.

463564465364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463564465364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578019993600).

463564465364 is an abundant number, since it is smaller than the sum of its proper divisors (692475521836).

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

463564465364 is a wasteful number, since it uses less digits than its factorization.

463564465364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50435 (or 50411 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 463564465364 in words is "four hundred sixty-three billion, five hundred sixty-four million, four hundred sixty-five thousand, three hundred sixty-four".