461523325164 has 96 divisors (see below), whose sum is σ = 1245696060672. Its totient is φ = 131437824000.

The previous prime is 461523325129. The next prime is 461523325189.

461523325164 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401784 + ... + 1699424.

It is an arithmetic number, because the mean of its divisors is an integer number (12976000632).

Almost surely, 2^461523325164 is an apocalyptic number.

461523325164 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 461523325164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622848030336).

461523325164 is an abundant number, since it is smaller than the sum of its proper divisors (784172735508).

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

461523325164 is a wasteful number, since it uses less digits than its factorization.

461523325164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298367 (or 298365 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 461523 and 325164, that added together give a palindrome (786687).

The spelling of 461523325164 in words is "four hundred sixty-one billion, five hundred twenty-three million, three hundred twenty-five thousand, one hundred sixty-four".