460533505335064 has 128 divisors (see below), whose sum is σ = 1008351224064000. Its totient is φ = 193118310088704.

The previous prime is 460533505335049. The next prime is 460533505335067.

460533505335064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×460533505335064² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460533505335067) 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, 3343842507 + ... + 3343980229.

It is an arithmetic number, because the mean of its divisors is an integer number (7877743938000).

Almost surely, 2^{460533505335064} 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 460533505335064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504175612032000).

460533505335064 is an abundant number, since it is smaller than the sum of its proper divisors (547817718728936).

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

460533505335064 is a wasteful number, since it uses less digits than its factorization.

460533505335064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144617 (or 144613 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 52.

The spelling of 460533505335064 in words is "four hundred sixty trillion, five hundred thirty-three billion, five hundred five million, three hundred thirty-five thousand, sixty-four".