461704071776532 has 192 divisors, whose sum is σ = 1235434588416000. Its totient is φ = 133026211699200.

The previous prime is 461704071776531. The next prime is 461704071776533. The reversal of 461704071776532 is 235677170407164.

It is an interprime number because it is at equal distance from previous prime (461704071776531) and next prime (461704071776533).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461704071776531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174412969 + ... + 177040367.

It is an arithmetic number, because the mean of its divisors is an integer number (6434555148000).

Almost surely, 2^{461704071776532} 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 461704071776532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617717294208000).

461704071776532 is an abundant number, since it is smaller than the sum of its proper divisors (773730516639468).

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

461704071776532 is a wasteful number, since it uses less digits than its factorization.

461704071776532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628126 (or 2628124 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 461704071776532 in words is "four hundred sixty-one trillion, seven hundred four billion, seventy-one million, seven hundred seventy-six thousand, five hundred thirty-two".