463133014461 has 12 divisors (see below), whose sum is σ = 720429133788. Its totient is φ = 285004931904.

The previous prime is 463133014441. The next prime is 463133014469. The reversal of 463133014461 is 164410331364.

463133014461 is a `hidden beast` number, since 4 + 63 + 133 + 0 + 1 + 4 + 461 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270302248836 + 192830765625 = 519906^2 + 439125^2 .

It is not a de Polignac number, because 463133014461 - 2⁶ = 463133014397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463133014469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979200800 + ... + 1979201033.

It is an arithmetic number, because the mean of its divisors is an integer number (60035761149).

Almost surely, 2^463133014461 is an apocalyptic number.

It is an amenable number.

463133014461 is a deficient number, since it is larger than the sum of its proper divisors (257296119327).

463133014461 is a wasteful number, since it uses less digits than its factorization.

463133014461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958401852 (or 3958401849 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 463133014461 in words is "four hundred sixty-three billion, one hundred thirty-three million, fourteen thousand, four hundred sixty-one".