461712715440327 has 96 divisors (see below), whose sum is σ = 739662086532096. Its totient is φ = 275722453094400.

The previous prime is 461712715440289. The next prime is 461712715440329. The reversal of 461712715440327 is 723044517217164.

461712715440327 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 1 + 2 + 71 + 544 + 0 + 3 + 27 = 666.

It is not a de Polignac number, because 461712715440327 - 2¹⁰ = 461712715439303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461712715440329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13095614883 + ... + 13095650139.

It is an arithmetic number, because the mean of its divisors is an integer number (7704813401376).

Almost surely, 2^{461712715440327} is an apocalyptic number.

461712715440327 is a deficient number, since it is larger than the sum of its proper divisors (277949371091769).

461712715440327 is a wasteful number, since it uses less digits than its factorization.

461712715440327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49801 (or 49798 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 461712715440327 in words is "four hundred sixty-one trillion, seven hundred twelve billion, seven hundred fifteen million, four hundred forty thousand, three hundred twenty-seven".