461731617763375 has 128 divisors (see below), whose sum is σ = 606580397280000. Its totient is φ = 350442167040000.

The previous prime is 461731617763303. The next prime is 461731617763379. The reversal of 461731617763375 is 573367716137164.

It is not a de Polignac number, because 461731617763375 - 2¹³ = 461731617755183 is a prime.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 461731617763375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461731617763379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77955698164 + ... + 77955704086.

It is an arithmetic number, because the mean of its divisors is an integer number (4738909353750).

Almost surely, 2^{461731617763375} is an apocalyptic number.

461731617763375 is a deficient number, since it is larger than the sum of its proper divisors (144848779516625).

461731617763375 is a wasteful number, since it uses less digits than its factorization.

461731617763375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7636 counting only the distinct ones).

The product of its digits is 280052640, while the sum is 67.

The spelling of 461731617763375 in words is "four hundred sixty-one trillion, seven hundred thirty-one billion, six hundred seventeen million, seven hundred sixty-three thousand, three hundred seventy-five".