461527725164 has 24 divisors (see below), whose sum is σ = 881591594688. Its totient is φ = 209667898640.

The previous prime is 461527725161. The next prime is 461527725179.

It is a happy number.

461527725164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461527725161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2856254 + ... + 3013509.

It is an arithmetic number, because the mean of its divisors is an integer number (36732983112).

Almost surely, 2^461527725164 is an apocalyptic number.

461527725164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461527725164 is a deficient number, since it is larger than the sum of its proper divisors (420063869524).

461527725164 is a wasteful number, since it uses less digits than its factorization.

461527725164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871565 (or 5871563 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 461527725164 in words is "four hundred sixty-one billion, five hundred twenty-seven million, seven hundred twenty-five thousand, one hundred sixty-four".