460013310064 has 120 divisors (see below), whose sum is σ = 1131619821696. Its totient is φ = 179134704000.

The previous prime is 460013310059. The next prime is 460013310067.

460013310064 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×460013310064³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460013310067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18365229 + ... + 18390259.

Almost surely, 2^460013310064 is an apocalyptic number.

460013310064 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 460013310064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565809910848).

460013310064 is an abundant number, since it is smaller than the sum of its proper divisors (671606511632).

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

460013310064 is a wasteful number, since it uses less digits than its factorization.

460013310064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27195 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 460013 and 310064, that added together give a palindrome (770077).

The spelling of 460013310064 in words is "four hundred sixty billion, thirteen million, three hundred ten thousand, sixty-four".