461585006721 has 12 divisors (see below), whose sum is σ = 666891984720. Its totient is φ = 307650375000.

The previous prime is 461585006653. The next prime is 461585006731. The reversal of 461585006721 is 127600585164.

461585006721 is a `hidden beast` number, since 4 + 6 + 1 + 585 + 0 + 0 + 67 + 2 + 1 = 666.

It is not a de Polignac number, because 461585006721 - 2¹⁷ = 461584875649 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (461585006731) 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, 6040155 + ... + 6116096.

It is an arithmetic number, because the mean of its divisors is an integer number (55574332060).

Almost surely, 2^461585006721 is an apocalyptic number.

It is an amenable number.

461585006721 is a deficient number, since it is larger than the sum of its proper divisors (205306977999).

461585006721 is a wasteful number, since it uses less digits than its factorization.

461585006721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12160476 (or 12160473 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 461585006721 in words is "four hundred sixty-one billion, five hundred eighty-five million, six thousand, seven hundred twenty-one".