456209832961 has 8 divisors (see below), whose sum is σ = 457524711360. Its totient is φ = 454895200272.

The previous prime is 456209832907. The next prime is 456209832983. The reversal of 456209832961 is 169238902654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456209832961 - 2¹³ = 456209824769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456209832901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4052511 + ... + 4163563.

It is an arithmetic number, because the mean of its divisors is an integer number (57190588920).

Almost surely, 2^456209832961 is an apocalyptic number.

It is an amenable number.

456209832961 is a deficient number, since it is larger than the sum of its proper divisors (1314878399).

456209832961 is a wasteful number, since it uses less digits than its factorization.

456209832961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122855.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 456209832961 in words is "four hundred fifty-six billion, two hundred nine million, eight hundred thirty-two thousand, nine hundred sixty-one".