461885806548 has 252 divisors, whose sum is σ = 1300185446868. Its totient is φ = 143447604480.

The previous prime is 461885806519. The next prime is 461885806561. The reversal of 461885806548 is 845608588164.

461885806548 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 8 + 5 + 80 + 6 + 548 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21226158864 + 440659647684 = 145692^2 + 663822^2 .

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 83 ways as a sum of consecutive naturals, for example, 64209640 + ... + 64216832.

It is an arithmetic number, because the mean of its divisors is an integer number (5159466059).

Almost surely, 2^461885806548 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 461885806548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650092723434).

461885806548 is an abundant number, since it is smaller than the sum of its proper divisors (838299640320).

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

461885806548 is a wasteful number, since it uses less digits than its factorization.

461885806548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 461885806548 in words is "four hundred sixty-one billion, eight hundred eighty-five million, eight hundred six thousand, five hundred forty-eight".