460411114064 has 40 divisors (see below), whose sum is σ = 973777867680. Its totient is φ = 209140963200.

The previous prime is 460411114049. The next prime is 460411114103.

460411114064 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 460411114064.

It is a congruent number.

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, 584879 + ... + 1123790.

It is an arithmetic number, because the mean of its divisors is an integer number (24344446692).

Almost surely, 2^460411114064 is an apocalyptic number.

460411114064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460411114064 is an abundant number, since it is smaller than the sum of its proper divisors (513366753616).

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

460411114064 is a wasteful number, since it uses less digits than its factorization.

460411114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710219 (or 1710213 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 460411 and 114064, that added together give a palindrome (574475).

The spelling of 460411114064 in words is "four hundred sixty billion, four hundred eleven million, one hundred fourteen thousand, sixty-four".