461202445325466 has 192 divisors, whose sum is σ = 1124843744344320. Its totient is φ = 135507102888960.

The previous prime is 461202445325407. The next prime is 461202445325467. The reversal of 461202445325466 is 664523544202164.

461202445325466 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 0 + 2 + 44 + 53 + 2 + 546 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461202445325467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7544709990 + ... + 7544771118.

It is an arithmetic number, because the mean of its divisors is an integer number (5858561168460).

Almost surely, 2^{461202445325466} is an apocalyptic number.

461202445325466 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 461202445325466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562421872172160).

461202445325466 is an abundant number, since it is smaller than the sum of its proper divisors (663641299018854).

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

461202445325466 is a wasteful number, since it uses less digits than its factorization.

461202445325466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63541 (or 63538 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 461202445325466 in words is "four hundred sixty-one trillion, two hundred two billion, four hundred forty-five million, three hundred twenty-five thousand, four hundred sixty-six".