456541412271 has 24 divisors (see below), whose sum is σ = 708170176944. Its totient is φ = 260856812160.

The previous prime is 456541412263. The next prime is 456541412291. The reversal of 456541412271 is 172214145654.

It is not a de Polignac number, because 456541412271 - 2³ = 456541412263 is a prime.

It is a super-2 number, since 2×456541412271² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456541412291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527021 + ... + 1801353.

It is an arithmetic number, because the mean of its divisors is an integer number (29507090706).

Almost surely, 2^456541412271 is an apocalyptic number.

456541412271 is a deficient number, since it is larger than the sum of its proper divisors (251628764673).

456541412271 is a wasteful number, since it uses less digits than its factorization.

456541412271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285671 (or 285664 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The spelling of 456541412271 in words is "four hundred fifty-six billion, five hundred forty-one million, four hundred twelve thousand, two hundred seventy-one".