460413101314064 has 40 divisors (see below), whose sum is σ = 923243785014720. Its totient is φ = 222164090870400.

The previous prime is 460413101314043. The next prime is 460413101314141.

460413101314064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×460413101314064² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231829052 + ... + 233806619.

It is an arithmetic number, because the mean of its divisors is an integer number (23081094625368).

Almost surely, 2^{460413101314064} is an apocalyptic number.

It is an amenable number.

460413101314064 is an abundant number, since it is smaller than the sum of its proper divisors (462830683700656).

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

460413101314064 is a wasteful number, since it uses less digits than its factorization.

460413101314064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465637839 (or 465637833 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

It can be divided in two parts, 46041310 and 1314064, that added together give a palindrome (47355374).

The spelling of 460413101314064 in words is "four hundred sixty trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, sixty-four".