461244442164 has 24 divisors (see below), whose sum is σ = 1174076762208. Its totient is φ = 139771043040.

The previous prime is 461244442159. The next prime is 461244442193.

461244442164 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 1747137907 + ... + 1747138170.

It is an arithmetic number, because the mean of its divisors is an integer number (48919865092).

Almost surely, 2^461244442164 is an apocalyptic number.

461244442164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461244442164 is an abundant number, since it is smaller than the sum of its proper divisors (712832320044).

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

461244442164 is a wasteful number, since it uses less digits than its factorization.

461244442164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494276095 (or 3494276093 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 461244442164 in words is "four hundred sixty-one billion, two hundred forty-four million, four hundred forty-two thousand, one hundred sixty-four".