460111111064 has 64 divisors (see below), whose sum is σ = 959190336000. Its totient is φ = 205159046400.

The previous prime is 460111111043. The next prime is 460111111081.

460111111064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058324 + ... + 1428380.

It is an arithmetic number, because the mean of its divisors is an integer number (14987349000).

Almost surely, 2^460111111064 is an apocalyptic number.

460111111064 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 460111111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479595168000).

460111111064 is an abundant number, since it is smaller than the sum of its proper divisors (499079224936).

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

460111111064 is a wasteful number, since it uses less digits than its factorization.

460111111064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370344 (or 370340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 460111 and 111064, that added together give a palindrome (571175).

The spelling of 460111111064 in words is "four hundred sixty billion, one hundred eleven million, one hundred eleven thousand, sixty-four".