461272737312 has 120 divisors (see below), whose sum is σ = 1357593120576. Its totient is φ = 153643920768.

The previous prime is 461272737271. The next prime is 461272737313. The reversal of 461272737312 is 213737272164.

461272737312 is a `hidden beast` number, since 4 + 6 + 1 + 272 + 7 + 373 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (461272737313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3478173 + ... + 3608355.

Almost surely, 2^461272737312 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 461272737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678796560288).

461272737312 is an abundant number, since it is smaller than the sum of its proper divisors (896320383264).

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

461272737312 is a wasteful number, since it uses less digits than its factorization.

461272737312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131572 (or 131555 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 461272737312 in words is "four hundred sixty-one billion, two hundred seventy-two million, seven hundred thirty-seven thousand, three hundred twelve".