461044444440164 has 24 divisors (see below), whose sum is σ = 868901656122360. Its totient is φ = 212787244859904.

The previous prime is 461044444440103. The next prime is 461044444440191.

461044444440164 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 121867469209600 + 339176975230564 = 11039360^2 + 18416758^2 .

It is a super-3 number, since 3×461044444440164³ (a number of 45 digits) contains 333 as substring.

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, 47582309 + ... + 56446124.

It is an arithmetic number, because the mean of its divisors is an integer number (36204235671765).

Almost surely, 2^{461044444440164} is an apocalyptic number.

It is an amenable number.

461044444440164 is a deficient number, since it is larger than the sum of its proper divisors (407857211682196).

461044444440164 is a wasteful number, since it uses less digits than its factorization.

461044444440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104113679 (or 104113677 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 50.

The spelling of 461044444440164 in words is "four hundred sixty-one trillion, forty-four billion, four hundred forty-four million, four hundred forty thousand, one hundred sixty-four".