461712706570512 has 240 divisors, whose sum is σ = 1370987667691200. Its totient is φ = 144552116256768.

The previous prime is 461712706570499. The next prime is 461712706570519. The reversal of 461712706570512 is 215075607217164.

461712706570512 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 1 + 2 + 70 + 6 + 57 + 0 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (461712706570519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9793021723 + ... + 9793068869.

It is an arithmetic number, because the mean of its divisors is an integer number (5712448615380).

Almost surely, 2^{461712706570512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461712706570512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685493833845600).

461712706570512 is an abundant number, since it is smaller than the sum of its proper divisors (909274961120688).

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

461712706570512 is a wasteful number, since it uses less digits than its factorization.

461712706570512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55350 (or 55341 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 461712706570512 in words is "four hundred sixty-one trillion, seven hundred twelve billion, seven hundred six million, five hundred seventy thousand, five hundred twelve".