460923464961 has 16 divisors (see below), whose sum is σ = 682930984320. Its totient is φ = 307245677040.

The previous prime is 460923464959. The next prime is 460923464977. The reversal of 460923464961 is 169464329064.

460923464961 is a `hidden beast` number, since 4 + 6 + 0 + 92 + 3 + 464 + 96 + 1 = 666.

It is not a de Polignac number, because 460923464961 - 2¹ = 460923464959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 460923464898 and 460923464907.

It is not an unprimeable number, because it can be changed into a prime (460923464941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785950 + ... + 1240791.

It is an arithmetic number, because the mean of its divisors is an integer number (42683186520).

Almost surely, 2^460923464961 is an apocalyptic number.

It is an amenable number.

460923464961 is a deficient number, since it is larger than the sum of its proper divisors (222007519359).

460923464961 is a wasteful number, since it uses less digits than its factorization.

460923464961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035173 (or 2035167 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 460923464961 in words is "four hundred sixty billion, nine hundred twenty-three million, four hundred sixty-four thousand, nine hundred sixty-one".