461133122045312 has 128 divisors (see below), whose sum is σ = 959020211635200. Its totient is φ = 220643434045440.

The previous prime is 461133122045179. The next prime is 461133122045347. The reversal of 461133122045312 is 213540221331164.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×461133122045312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5657409614 + ... + 5657491122.

It is an arithmetic number, because the mean of its divisors is an integer number (7492345403400).

Almost surely, 2^{461133122045312} 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 461133122045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479510105817600).

461133122045312 is an abundant number, since it is smaller than the sum of its proper divisors (497887089589888).

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

461133122045312 is a wasteful number, since it uses less digits than its factorization.

461133122045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101204 (or 101192 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 461133122045312 its reverse (213540221331164), we get a palindrome (674673343376476).

The spelling of 461133122045312 in words is "four hundred sixty-one trillion, one hundred thirty-three billion, one hundred twenty-two million, forty-five thousand, three hundred twelve".