461432186944 has 189 divisors, whose sum is σ = 999699274791. Its totient is φ = 211285739520.

The previous prime is 461432186939. The next prime is 461432186951. The reversal of 461432186944 is 449681234164.

The square root of 461432186944 is 679288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 57749857344 + 403682329600 = 240312^2 + 635360^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461432186891 and 461432186900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4233322762 + ... + 4233322870.

Almost surely, 2^461432186944 is an apocalyptic number.

461432186944 is the 679288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461432186944

461432186944 is an abundant number, since it is smaller than the sum of its proper divisors (538267087847).

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

461432186944 is an equidigital number, since it uses as much as digits as its factorization.

461432186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 171 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The spelling of 461432186944 in words is "four hundred sixty-one billion, four hundred thirty-two million, one hundred eighty-six thousand, nine hundred forty-four".