461344443164 has 24 divisors (see below), whose sum is σ = 889468772976. Its totient is φ = 207625760000.

The previous prime is 461344443137. The next prime is 461344443179.

It is a happy number.

461344443164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51901997 + ... + 51910884.

It is an arithmetic number, because the mean of its divisors is an integer number (37061198874).

Almost surely, 2^461344443164 is an apocalyptic number.

461344443164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461344443164 is a deficient number, since it is larger than the sum of its proper divisors (428124329812).

461344443164 is a wasteful number, since it uses less digits than its factorization.

461344443164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103812997 (or 103812995 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 461344443164 in words is "four hundred sixty-one billion, three hundred forty-four million, four hundred forty-three thousand, one hundred sixty-four".